Oh no, I really vote against both these, personally!

DC's Arrowverse is the way we did for so long and there's nothing wrong with keeping the same designation. Besides, changing the name will make it harder for everybody to find it in the tagset, especially if it's a new unwrangled name.

About Star Wars, everything folded into a big umbrella fandom will mean I won't be able to request or offer any of my ships, since I've only watched two trilogies and one solo movie!