I think I would let this go. If you confront him then he will feel you are smoothering him and controlling him. You are also not giving him space which is what he asked for. It is ugly that he felt the need to lie, but then snooping isn't much better. I have been guilty of that myself. I wish I never felt the need to do that.....it would have made my life a lot less stressful. If it was me, I would kind of wait it out and just observe (if you want), but then I am kind of a passive person. If you two are not having difficulty paying the bills, then I wouldn't make an issue of it.
If you confront him, there will be a fight....just about guaranteed. This might be a time to do something nice for yourself.
TwinDad Me 39, W 36, M 11 W - MLC, WAW???? 2 Kids B/G 3 YRS Old Start of the Long and Bumpy Road..... On the verge of piecing.....a new beginning