OK, use that number then instead of 2000. Figure out the space it's going to take to hold them at each battery swap location. These aren't D cells, they are big and heavy.
Tell that to the EV proponents and most libs, they say it has to and will.
Versus how many cars fully recharged with gas in the same time? And to rapidly charge these batteries takes enormous power, far more power than any gas station service has. Tesla super charging is 100KW. With 8 cars or batteries charging at once, that's 800KW. Your battery swap facility, how much power is that going to need? It's going to take major upgrades to the grid and power sources to support that.
I would argue exactly the opposite is true. A gas station is simple and can be put almost anywhere, it's a self-contained issue. A battery swap facility or any charging facility that is either going to charge a lot of cars quickly or charge a much smaller number more slowly, is going to need huge power and we don't have the infrastructure to support it. If you're going to do this charging at night or when the sun isn't shining or the wind blowing, that infrastructure extends from the charge facility all the way to the new generation sources that we don't have and that govt and people won't allow to be built, eg nuclear or natural gas. Tesla super charging, just ten cars is a megawatt. The old nuclear plant that was closed here a few years back was 600MW. New ones that we aren't building, I think are more like 1GW, their entire output would support charging 10,000 cars. There are 275 mil cars in the US. And US nuclear capacity peaked a decade ago. Nothing like that with a gas station.