Do we need consistent branding for the overall movement?

I've been hearing stories of people being confused and thinking "No Kings day" and "Good Trouble day" aren't just separate events, but organized by completely different groups. This raises an obvious question: should we have a consistent name for the overall movement? Individual groups can still keep their names, and we can still give different names to different events, but we can have a "[X] Presents: [Y] Day" format.