Wish: Move Hole & Named Selection working together (at least in simple cases)

Would it be possible (or easy enough to implement), to have Move Hole and Named Selections working together in some simple cases? I’m ok with not having it in more difficult scenarios but in cases similar to shown in the video, having this option would be handy.

Probably it’s touching a much broader topic of replacing a reference to newly created edges but I’m asking anyway.