I did it in my reno I can’t see an issue if they are not seen together.

Hard to notice

We replaced the baseboards in our bedroom last fall when we got new carpet - went from stained oak (33 years old) to white. Eventually I want to redo the whole house, but since I'm doing it myself, I'll do one room at a time (and the bedroom was practice for the public spaces). I will probably have a period of time where the upstairs and downstairs don't match (I also live in a split foyer), but I can live with that.

Typically trim is fancier in public spaces, front hall, dining room, living room and less fancy in private spaces, bedrooms, kitchen. Rule of thumb is minimum is 1/2" of baseboard height per foot of wall height.

I agree with the others. Go for it.