Nope, not unless you want it to be. It might even be nice to have some contrast. If you have a cooler color in the bedroom, then maybe try a warmer color in the bathroom. New Venetian Gold Granite tends to look really good with warm neutrals and bold warm colors like burgundy or ox-blood. Or, if you wanted to stay on the cool spectrum in the bathroom, but have a bit of contrast, maybe consider something luxurious like an eggplant/ aubergine.

Should be fine as long as there is a clear separation between the two spaces.

What color would you paint this bathroom?

St. Cecelia granite

I would paint it a taupe grey to match one of the tiles on your frieze. This would make the bathroom cozy but also work with your silver blue. Definitely framed mirrors or artwork would add panache.