20 minutes gives you 150 miles, which is enough to get you to the next Tesla Station. More than that doesn't really help - you can't make it to the Tesla Station after that even if you charge for 40 minutes. Similarly with the swapper. For the most part it's not useful that the battery is 80% full. You still can only make it to the next Tesla Station.
I'm not sure I understand this argument. Your total amount of charging is dictated by the total distance you need to travel. However, you can, and will, make some stops longer and others shorter. In fact, if you eat at one of the stops, you are likely to take more that 20 min, and you'll adjust the preceding and/or following stops and charges accordingly.
Plus: If 20 min (40 kWh) is enough to go to the next station, then 85 kWh will in many cases (where it isn't exactly twice the distance) get you to the second next station. Or, you'll just need a very short SuperCharger stop in between, and if you have done a swap, you still save most of the time. In the not-so-distant future, with 100 kWh batteries, you'll then be able to skip a station even when the distance is exactly twice of that to the next station. And in all those cases, you can arrive with a quite empty battery at the second station, meaning you can take full advantage of swapping at that station (and take a full load off those Superchargers).
And last but not least, your final destination may be in reach, and further away than the next-closest SuperCharger (possibly in a different direction). Even if not, you may want to arrive with as much of a charge as possible.
It just isn't true that charges of more than 40 kWh are not useful. If it were, everyone would have 60 kWh battery only.
At position 5 you're going to wait for 9 minutes. So now you're paying $80 to save 9.5 minutes instead of paying $80 to save 18.5 minutes (which was dubious to start off with). Yes technically it only starts being actually longer at 13 people in line.
I don't know why you think there will be a line in front of the swap station, but even if there was, I'd think in such a case there would also be a line in front of the Superchargers, so you'd save even more time, once the swap line gets a bit shorter. So the two waiting lines will adjust their length relative to each other.
But it's a perception thing. 90 seconds feel like an order of magnitude faster than 20 minutes. You can hold your breath for 90 seconds. However, 10 minutes doesn't feel like an order of magnitude faster than 20 minutes. And 10 minutes is especially a long wait when you have to stay in your car. Compared to a 20 minute wait but being able to get out and do stuff.
90 seconds is in fact more than an order of magnitude faster than 20 minutes. It is alright if any line in front of the swap station causes incoming cars to switch to the Superchargers, since such a line doesn't serve any purpose at all. It doesn't matter whether the waiting lines are in front of the swap stations or in front of the SuperChargers, what matters, at peak time, is the throughput of each.
If the actual swapper process took 10 minutes instead of 90 seconds, it would be dead on arrival, wouldn't you agree? Literally nobody would pay $80 for that.
Sure, so that line will get shorter until it makes sense, again, for those coming in. There is no disadvantage in that. The swap station will still function at its maximum rate, in such a case, which actually is the best-case scenario for its usefulness. Perhaps it will lead to the addition of a second swap station.
10 people drive up to 10 chargers. No line.
10 people drive up to 1 swapper. A line of 15 minutes.
20 people drive up to 10 chargers. A line of 20 minutes.
20 people drive up to 1 swapper. A line of 30 minutes.
etc.
Those 10 people usually don't come in at the same time, that's an artificial scenario and an edge case. However, it doesn't even matter, since at that point, the swap station already serves its full purpose, operating at full capacity, taking as much load off the SuperChargers as it possibly can.