I believe a man needs to stay balanced about the house chores and cooking. Too many LBH'S go to extremes and do everything so that the W doesn't have any of it to do. I believe that is a big mistake.
If the MR was healthy, and you were doing more to help her out sometimes, it would probably be appreciated. But if you are stuck home doing the work while it frees her up to have more attention on OM, I don't think you are accomplishing much.
I understand the philosophy behind being a man only a fool would leave. But do you realize that a WAW in an A is a fool? If you cook and clean house for her, she will not appreciate you for doing it. In fact, the frame of mind that most WAW'S in an A are in...is more like they think if you are crazy enough to do all the work, have at it. Or they feel you should be doing it to pay them for all the Years they did it. Whatever........but the point is that they seldom appreciate "you" for doing it for them. If that makes sense. You won't make any brownie points with her.
I suggest that what you do is strictly for you and the children. I am just not big into "showing support" when there is an affair. Hopefully, when the A ends and the M is R, you will be able to give her support. She will need it.
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!