As long as the doors close, paint the walls whatever you want.

I don't think you want them to clash but they don't need to be the same, especially with an older house like yours where the rooms probably were wildly different originally.

I painted my closets white as I don't want reflected light impacting the colors of my clothing as I selected them. You have 2 separate rooms so there's no need for the colors to match.

I'm with Annie. Somehow all the closets in my new house got painted white, except the one I use everyday! UGH! I didn't notice until we were moving in and it was too late to change. Nevertheless, I wish my MBR closet were white.

I like the idea of painting the closet white, but I've never heard any rules about having to paint the same color as the bedroom, especially in your case where they are across the hall from each other.

In my daughter's bedroom I painted the walls a very pale green, and the ceiling a very pale blue. Then I painted the closet walls (and ceiling) the same pale blue as the bedroom ceiling and really liked how it turned out. I'm now doing the same to my son's room in a different color scheme (gray walls with pale yellow ceiling and the same yellow on the closet walls/ceiling).

Same or somewhat coordinating. Either is just fine IMO. I do think in a small house it can be nice to have some flow or coordination to the colors, but definitely no need for them to be the exact same unless you want them to be.

You are using the two rooms, plus the bathroom and hall, as if they were a master suite. (I realize that the bathroom and hall may also serve the rest of the house.) So, while there is certainly no rule that they have to be the same color, I do think that you should coordinate all of them.

It may help to refer to the second room as a dressing room rather than as a closet. Will it have furniture in addition to the cabinets?

Fair point: it's more of a dressing room than a closet (though to be fair, my closet in our last house was bigger than this room :-p). I'd prefer it not to be plain white, because it is an actual room, not a closet.

okmoreh you nailed it, in that we are using the area as a master suite (no other humans in the house). So it feels like they should coordinate, and I don't mind using the same color.

The dressers will be the only furniture, with the possible exception of a chair or ottoman, if space permits. I've got a comfy chair-and-a-half in storage and Mr. Weedy has a recliner, and I'd love to use one of them, but I suspect that either will be too large for the room. But we do need somewhere to sit while dressing, so we may end up with an ottoman in the center or something.