Would a 4K scan really make that much difference? Depending on the film stock, you'd probably just get enlarged grain, no?
2K/1080p should be absolutely fine for a 1980s TV show! I honestly wouldn't expect a 4K re-remastering any time soon, if ever. It's overkill.
EDIT: Although, in the context of those pan-and-scan shots, yeah, it would probably be a noticable improvement over how they've done it there.