As far as I'm aware, NO, for those new kind of advents, shop will no be resets. So, RIP Typhoon's lances grid for anyone who didn't overfarmed her previous events.
Also, true, for healer there's Brynhildr atm, and plz, don't SR-mtix her, she's available in gemgacha.
And, try to avoid doing exp caves. There's almost no gain from grinding those, much better to grind fang caves.