I think most people are under the impression that the battery management system (BMS) actively throttles the charging process to "protect" the battery and that is the reason for the tapering at the top end of the charge.
This is not actually what is happening. Rather, the charge process goes into what's called constant voltage (CV) mode where the charging station holds the charger voltage at a set voltage and current flows into the battery in an Ohm's Law like fashion based on the difference between the charger voltage and the pack voltage. I.e. the battery takes as much charge as it's going to take, and as the voltage difference gets lower (as the pack fills up), less and less current is going to flow into the battery, resulting in less and less power. It really comes down to the physics of the battery.
Of course there are steps that could be taken by the BMS to potentially speed up charging. First, it could switch from constant current (CC) to CV at a later time, possibly tapering the amount of current being called for. Hyundai/Kia and I think Porsche vehicles do this to stay in CC mode longer. And I suppose that it could call for a higher CV voltage, possibly tapering down the voltage, but this is risky because (a) the way the BMS determines that the battery is "full" is when the amount of current flowing into the battery at a specific CV drops below a certain amount, so adjusting the CV voltage would throw this off and you risk overcharging the battery and (b) since you are holding the voltage at a certain level, you wouldn't be able to get a good read on the pack SOC until the point the current drops...you would have to rely on dropping the CV voltage when you reached intermediate current events.
Plus, with all of that, I doubt it's going to make a huge difference in time anyway, and during an evacuation event, with full Superchargers, the limiting factor is going to be the power coming into the site anyway. Increasing the amount of power vehicles are getting in the last 20% of the charge isn't really going to happen because the whole site is going to be underpowered anyway, so the station may not have more to give.
So what should we do during evacuations?
Well, first off, preparedness on the part of people will go a long way (at least for predictable evacuations, such as hurricanes). We know about potential hurricanes days in advance. There is no reason that people should not have their cars already at a high SOC in advance of the storm. This should generally get people 250 miles or so away from the area of concern, which is mostly good enough to get away from areas with widespread power outages, or at least to safety. And the good news is that electricity is very easy to "transport" as compared to gas. Lines at gas stations and completely running out of supply are typical in advance of big storms (and after, by the way!), but electricity can be imported from very far away. Yes, the grid will see a temporary strain in the lead up, but it should be able to be handled.
The one possible exception is with certain hurricanes such as Hurricane Irma that came straight up Florida. For residents in southern Florida, they would have to travel the entire length of Florida to escape, which is well beyond the range of the car. Okay, so here we have a real problem.
In that event, what I see Tesla (and hopefully other CPOs) doing is rolling out their mobile charging stations. Again, these types of events are quite predictable and hopefully they see the need to have these things charged and ready to deploy on trucks to affected areas. The rest of the time they can be used to relieve congestion on busy corridors at holiday times. Eventually this will be a must. Hopefully they see the need and prepare for this and not just create one or two flatbed demonstration vehicles that never get mass produced.
A less predictable need for evacuations is wildfires. Residents may not have enough advance warning the prepare (at least at the start of the wildfire), but the distance needed to travel during these kinds of evacuations is much less, and the resultant power outages are not so widespread. Yes, it may result in huge lines at charging stations surrounding the affected area.