But we could be arguing semantics over the terms continuation and sequel
Is there a difference? Most sequels are continuations. The word "sequel" simply means "what follows."
Granted, though, television sequels are generally "next generation" sort of affairs or spinoffs in different settings. Doctor Who
is unusual in that the "next generation" of the lead character is the same lead character.
The term I prefer for a show like the new Doctor Who
is "revival series." I also use that term for the '88 Mission: Impossible
, which was straight up just starting the series back up again 15 years later with the same lead and a new supporting cast.