Probably not...91 and 92 wasn't a good period for game shows. Talk shows were starting to become the \"next big thing\" on TV. For some reason, I think had the show come back in 91, it wouldn't have been as \"stylish\" as it is today, it probably would've been more \"zany,\" like the late 80s version.
I doubt Bergeron would've been a host, but Marc Summers or John Tesh might've still been considered.
As for Whoopi, she still had a bit of a movie career left in her about this time; Sister Act came about in 1992, and I remember her having her own short lived talk show that year. So it's safe to say she probably wouldn't have been center square, but maybe a semi-reg.