Along the high traffic route I-5, at least once Gen III production starts, between SF and LA, a battery swap station might even be more cost effective than the corresponding number of additional SuperCharger stations. I don't think the real question is cost, but how many will prefer (or at least be OK with) battery swapping, such that it will get used sufficiently and reduce the load on the SuperCharger stations.
Especially for the Gen III, I could imagine that many (*optionally*) would prefer to buy the car without battery, and instead pay a monthly fee for battery sharing (without even the financial commitment of a lease). Of course this monthly fee needs to be lower than the average gasoline expense of an ICE. This would lower the initial threshold of ownership substantially, and make it even easier to compare the true cost of an EV.
For those buying a car including a battery, it may depend on whether it is possible to have your "own" battery returned after a trip. If not, many might want to keep their fresh new battery with its maximum range, but perhaps be willing to enter sharing once the battery is more average quality. They would get a credit based on the capacity of the battery. Or, once shared batteries with a higher capacity than 85 kWh become available. The monthly fee might be influenced by the capacity of the battery you receive/choose.