Confused about how SBB works with wall switches

I’m looking at getting 2 Minka Aire fans - F781L-WHF (Chubby) and F692L-WHF (Veer). I’m not sure I understand what happens if someone turns off the light switch the fan is connected to. Does it kill power to the fan, so the Bond app can’t control it until the switch is turned back on? What happens when I turn the switch back on? Does it remember the last setting for the fan and light?

You can pick what happens: