Once again, we are running on paralell tracks, here.
I also ask my W if she want to do something that I have planned for me and the kids, I never exclude her. She never includes me. Now, if we are doing something, I may say, "I'm taking the kids swimming at such and such, you're welcome to come." I then keep walking out the door, not waiting for her to say yes or no. It doesn't matter. Last week, I had made plans for the 4th and she said she would come. Then she said she was coming to help keep an eye on the kids. I said I didn't need any help, you can just stay home. Screw her. I can handle the kids just fine and we always have a good time. There is no yelling and screaming, we have fun and play and relax.
As far as continuing to ask, IDK. I guess I do let her know what we are doing but I don't care if she comes or not. Do you know what I mean? It doesn't affect me one way or the other. Yes, the kids notice, but they also notice that she never asks me. Just one more thing for them to adjust to. I guess I try to ask in a way that I don't really need an answer. Me and the kids are going, she know she can come if she wants.
Stay strong and continue doing the hard work. Be the better person.