For goodness sake, plugging in to a public charger takes less than 20 seconds to wave the card, plug in the adapter, then plug it into the car.
My experience is different.
But first I need to stress my comment referred to where readily cabled, free to operate HWPCs or superchargers aren't at hand. I think 20 seconds is unrealistic in those cases as well, in cold, but it is certainly faster if the cable is hanging there in the charger and you don't have to do anything to make the charging start. If you have to connect your own cabling or operate the charger in any way, in the cold, perhaps in the dark, things can take quite a bit more time.
Let's not forget that this was in response to 3s-a-charm's "don't even have my Tesla yet! Was driving my ICE and getting a feeling of aggravation looking at the needle reaching "E" and thinking I have to stop somewhere for gas and it's cold outside and I'm in my suit and I just don't want to! Then I realized I have "reverse range anxiety"." If he is in his suit in a Tesla, and it is cold outside, he will need to charge it a lot more often than he will have to visit the gas station... Hence why I said hopefully he has a warm garage.
Here is my view on how charging Tesla out in the cold goes, in places where you have to provide the cable:
Pop the charge port open from the inside to keep warm to the last. Notice that it didn't open because it is frozen shut. (Happens a lot.) Go out, push the rear of the charger port - to create pressure countering the magnet - while fiddling with your smartphone to open the charge port. Or whatever tricks you personally use to open the port if frozen. Apparently you can also do the magnet release with your keyfob in the next update I don't yet have, so that helps a little. UMC is another alternative but requires plugging in first and a little unreliable. As the task requires precision, gloves may need to come off. This may take a few tries to get the pressure on the port and the timing of the magnet release just right. In any case, I will easily have spent that 20 seconds just to get the charge port open, because it freezes shut a lot. I would say, often a minute passed by this point.
But even if the charge port isn't sticking, there is stuff that will take more than 20 seconds. Then you open the frunk or trunk or whatever to get the charging cable. On a gas tank the cable is already readily in place, you just connect. Also pretty much every gas tank door in ICE car is easier to operate in cold compared to the Tesla charge port. Hopefully snow or ice doesn't mean your frunk or trunk neads cleaning first, before you can access them safely. To get gas you don't need to open these areas. With ice or snow the electric trunk may refuse to open altogether. Then you pick up the cable that, if the car was cold, is frozen to this long unboiled spagetti. If you need to swap the UMC head, depending on the charger, easily one has already spent two minutes depending on how hard or easy it was to open that charge port. By this time gas would have been flowing already.
You do all this while carrying the cable, trying to keep the cable ends from hitting the snowy ground and the cable from messing you suit.
Finally starts fiddling with the charger, one handed when joggling the cable with the other. How does it operate? If it is just your outside charger at home or office and it is a wall socket, this will be fairly quick. Unless you are in one of those countries where polarity matters and you notice you plugged it in the wrong way and UMC blinks red - you need to do it again. Hopefully the socket's protective mechanisms aren't frozen and won't give you a hard time when plugging in and hope it isn't too dark to see the socket properly to plug in. This is of course easier at a public charger, if it is lit and uses a connector designed for EV charging, but other caveats follow below - and in any case, in many markets one still charges using traditional sockets quite often and they are not the easiest to operate in cold, in dark, with gloves on. By the time you are done plugging into the wall, you may notice the car has locked as you moved away from it and the charge port - luckily not closed at least in older cars - and you have to fiddle with unlocking the charge port again. One might remedy the latter by connecting the car end first, but that's not recommended by Tesla.
Now, in the case of a public charger, it may require more than that. You may have to open some cover, plug in, close some cover, but you may also have to swipe a card, type a code, send a text, select a mode, set a timer, pay, just like you would when gassing up on an automated tank. Depending on the charger and on how familiar you are with its operation, this can take a while or a longer while. And if the green light doesn't start blinking after it all, you need to go check the connections and the charger, and release already locked charge ports on one or both ends to get the cable out... which may involve more fiddling with various gadgets to get both ports unlocked. And let's face it, charging issues at public chargers especially are note exactly rare and in most cases the solution is the re-connect, so this happens more often than one would like.
You also need to make sure your cable is lined up nicely and may have to bend over to adjust it on the ground, not very nice with your suit pants sticking against your skin in the cold. Hope you wear long undies! Finally, when calculating the operating time required for charging, one has to factor in the removal procedure as well: When you are done charging, much of this happens in reverse. You may need to do something to release the public charger, perhaps unlock some cover, swipe some card, send some text or whatever, and then release the Tesla end of the cable if it didn't happen automatically for whatever reason. Last you roll up and pack up the cable, which may be by now covered in snow and all sorts of icky stuff from the ground, so perhaps you also need to clean it up a little before fitting it in to the frunk/trunk, which hopefully isn't by now covered in inches of new snow and ice.
I would say EV charging in the cold - if you have to hook up both ends with your own cable - on average takes roughly a comparable time (as an operation from the driver) as filling an ICE tank. Maybe not exactly the same, but a comparable operation nevertheless. Surely in warm climates and at superchargers this is much faster, or with a HPWC in a warm garage, but if one has to rely on plugging in, running and then re-packing a cable in the cold, let alone operate a public charger system, it isn't much different time-wise from visiting an automated gas tank.
The difference is on an EV you have to do it more often, because of lesser EV range and because that cold is also eating into your battery. One thing you don't have to do, compared to filling a gas tank, is stand around waiting for the gas to flow, so it is a more involving and active process allthroughout. The moment the green light starts blinking in the Tesla is a moment of joy, because it means you can finally run into the warm and go unfreeze your fingers. If it starts blinking.
YMMV, as chargers and cables and sockets of course vary from market to market, but I would say the effects of cold are universal in cold (and often dark) areas and do impact the speed and pleasantness of plugging an EV in and out. Something to factor in, if one doesn't like "filling up" in the cold and doesn't have a warm garage.