A lot of people paint the interiors of closets white so that it is brighter and easier to see the clothes. We don't have walk-ins, so I used white. I think you'd be OK if you used the Natural Linen.

I would say paint the inside of closets with the same wall paint used in the room into which the closets open, but Gsciencechick makes a good point about using a light, neutral to make it easier to see clothing and discern the clothing's color.

I would use the Natural Linen

I'd paint the closet walls the same as the walls in the rooms. If you don't want to do the, go with white. A small, reach-in linen closet can look nice painted with a burst of color, but I would not do that for a closet for my clothes.

I had ours painted the same color as the walls of the room. I know what color my clothes are and I have a light in there anyway, so that isn't an issue.

natural linen would be my choice

I painted my small reach-in closet white, but the room is dark teal. I think natural linen or white is fine.

Same white and finish as the trim. I like to do closets white in at least an eggshell finish. Doing closets the same color as the room wall color means you have to paint the closet every time you paint the room which is a pain.

Closets don't see the same wear as walls. If the closet walls match the trim, you don't have to paint them every time you change the room's wall color. Since it has at least an eggshell finish, you can just wipe down the walls to freshen up the closet between color changes.

Thanks for the advice guys. We are going with white.