as a concept it feels weird to me because the entire logo is a mock hitcircle; it's a play on the main game mode already. and visually, the game mode icons introduce small/sharp details to this otherwise very simple logo and the mix just doesn't look good to me.
would be nice if the dot were just removed entirely
personally, I wouldn't like it, and many people have already been vocal about not being happy with having something in the o. A logo should always look the same everywhere, too
I really like this idea, especially as the new logo is meant to be a hit circle but it's way too thick so it has no resemblance, it's just nicer to have what ever gamemode in the middle!
Maybe also try suggesting this on the osu! github (But im pretty sure peppy wanted to wait a few weeks for people to get used to the new logo before taking suggestions/feedback.)