Well, again I will say something that few to no one will agree with probably.
But I would want my woman to not want me to have pics of beautiful babes lieing around. Because if I got 'em; that means I want 'em.
And the same goes for her. If she has pics of gorgeous guys on her walls, I may not dump her over it. But I might. If she has 'em, then she wants 'em. And if I am not enough for her; find someone who is.
I have dated enough to know that when I am content in a relationship, I don't desire other women, at all. When I am not content, I do desire other women. So if my relationship is going well, I don't need pics of babes. And I assume the same with her.
Maybe this is a point that others can compromise on; not me. At least, not now.