The ones we saw did look alike, yes.
If there's an Enterprise
in the 24th century of the Abramsverse, it is almost certainly going to be completely different from the Ent-D we're used to. Probably everyone on board is "new", as well. The timelines will have diverged way the hell apart by that time.
I think it's more likely that one of those alternates was from a MU where the Empire still exists.