I think that would still be considered a reboot as well (see the iCarly reboot or the new Frasier reboot as examples of reboots that follow the cast some number of years down the line).

I would personally prefer a fresh cast over a continuation, though. With any continuation there are going to be missing cast members who's absence is felt, which would not be the case with a fresh cast. Additionally a fresh cast gives you room to have a new plot from scratch instead of being constrained to an old show where you have ~10 years of established lore that you need to be careful not to contradict or retread.

Hopefully the show holds up either way, though, as I know there are fans of the original who would be quite disappointed if the quality was poor.