Im just wondering what good could come out of going to lunch with him. Best case scenario is that he wants to go to lunch with you. IF that is the case, then it would have an even bigger impact to not go. It would be you pulling back a little further from him. Showing him that you arent going to do everything he wants unless you all are together.
Yes, it's possible that he would think that. He might also think that it means that Maybell is struggling, having trouble moving on or changing, and why would he bother even considering reconciling if nothing has changed. She doesn't see him often.
If you feel like you could handle it, Maybell, this could be a chance to show how strong and confident you are/have become. Keep your mind busy and in a happy place-- don't look wistfully at him or the kids leading you to sadness. Stay right in the moment, don't look backwards or forwards. Focus on the joy it will bring your kids to have a mom and dad who can share a friendly meal together even if they are not together. Focus on the delicious food. And if you feel tears coming on, quickly and gracefully excuse yourself. Then, head to the bathroom, look yourself in the mirror and repeat your mantra. (If you don't have one, may I suggest, "I am awesome. I am AWEsome. I AM TOTALLY AWESOME." And come back with a confident smile.
Not trying to push you into something you don't feel ready for, but I honestly don't think that rejecting him would make him pine for you. But what the hell do I know?