I am gettin 2 different answers
I think you are getting two different answers because there
are at least some resorts/weeks/etc. which do have such a restriction, but if I recall the past discussions here, not all of them do. However, the phone representatives/booking system seem to attempt to enforce this restriction much more broadly than they should, and getting them to do the right thing is difficult if not impossible.
So, there may not be a 60-day restriction on the week you are thinking about taking over. But, there's a good chance Westgate will treat it as if there is, and it will be a royal PITA to get them to fix it. Worse, you may have to do that every year. This is mostly because Westgate is actively antagonistic to resale owners.
I'd avoid this at all costs. There are many many other free or nearly free (for resale) systems which treat resale owners with much less disdain. The only
possible reason I'd consider this is if (a) the current owners purchased it directly from Westgate, and (b) this was considered a direct-family transfer and you'd be treated as if you were a direct owner as well.
Even then, I'd probably look elsewhere. There are too many other options out there to risk it.