When shows like SATC attempt to amend their oversights, it's damned if they do, damned if they don't. IMO, it would've been extremely tone deaf if they didn't move with the times. It's been almost 2 decades since the last episode of SATC's original run and to pretend that the western society (primarily the US) hasn't gone through a massive cultural shift would be nonsensical.
I think that Schitt's Creek is one of the shows that successfully managed to maintain a feel-good atmosphere while simultaneously putting the Rose family in situations which force them to confront their privilege in an organic way. It may seem like a reach but the premise is similar (rich, white). Ofc, this only works if AJLT's writers and producers are worth their salt. With what's been released and leaked so far, I'm not too optimistic tbh.