Can Kasa smart plugs run reliably on modified-sine-wave inverters and UPSs?

I'm moving one of my Kasa Smart Plugs to a different wifi and need to know how to reassign wifi addresses in these devices. I have a fairly long and time-consuming-to-reenter list of schedules and so...

After I program an on-off schedule into the EP10 smart plug, will it continue to execute that schedule even when the Internet is down? Looking to switch from Wyze to Kasa because Wyze smart plugs...

Is there a comparison chart anywhere that shows the differences between all the different models of smart plugs? Specifically interested in EP-10 vs HS-105 but something that compares all models...