Tesla looked into that and did not really see it as viable for consumer vehicles.

If solid state batteries can get past their longevity issue, getting 500-600km range in 10 minutes will be possible. Toyota claims to be working on a battery that can charge twice that in 10 minutes that is supposed to be available by 2028. But they also claimed to be working on one that would have been commercially available in 2021. Clearly that did not happen.

If longevity is an issue that can’t be bypassed, it might make sense to have a car that has a smaller standard lithium ion battery that can go 75 km and then a solid state that is able to go 300-400 km. The lithium ion battery would cover over 95% of trips but when longer range is needed along with faster charge time, the solid state could be used. That would allow for less wear on the solid state while also minimizing range anxiety and long range charge time