With the Powerwall's ability to
control Tesla EV chargers having it on the backed up side isn't a terrible option. I would guess that for all but the largest solar setups that a level 1 charger would be enough during an outage scenario so in general I agree that one likely would not want to back up a level 2 charger. I could see if someone had, say, a 20kw+ PV system they could be interested in having an L2 charger on the backup side to maximize excess PV production while the grid is down.