On photographs, honestly telling you, I can survive without seeing my daughter’s photographs for the days she is away. Will sharing photographs be beneficial or otherwise? If not sharing is better, then what should I say if she asks for photographs when D is with me?
It doesn't matter that it's not a legal separation or divorce. You are still living separately. Will it be beneficial to share photos? Who knows? The only thing I see sharing photos would do is humor her. If you don't share, she's probably going to react badly and accuse you of being punitive, etc. It could lead to other uncomfortable interactions.... b/c the WW wants what she wants. I'm mostly going on the experiences of others in this situation. Some H's have a hard time detaching when the WW is sending photos, On the other hand, some H's want the photos. So whatever works better for YOU. If you decide to share photos, have absolutely zero expectations in it assisting her return to the MR.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!
