I think it's ok if the counselor sends a note, but I don't think it's going to work if she spills out about how much you love your W. All that's going to do is cement to your W how biased the counselor is.
I don't see how hearing that from the counselor will make anything better for you.
Now, if, instead, the counselor is sending a message about improving communication for the sake of your kids....then it may have some merit.