I'd say ongoing vaccination (after herd immunity is reached) is irrelevant to the herd immunity calculation. Is that what you meant? Though we'd obviously still need vaccinations as much of the world will not have herd immunity for a long time, if ever.
And certainly the percentage needed will differ whether we assume social distancing and travel restrictions are continued or not. Personally I hope we keep a lot of it, at least a long while more. I really hate catching flu's and colds.