I barley talk to W in front of the kids and when I do, I am polite with her but other than that it's no contact.
Not saying "thank you" is not polite. I'm seeing passive-aggressive behavior that you're modeling in front of your kids. I simply wanted to point it out to you, but you don't seem to want to hear it, so I'll drop it. My initial point was because you had more or less said that everyone on the board would be proud of you for the way you were treating her, and I wanted to distance myself from that thought, because I don't think you're getting it.