His kid is being used as a pawn. The child is not making these request, I am sure (no offense, but I know at 4, my daughter was focused on who she was with and the tolerance for the phone a very short period of time. any face time was almost forced). It actually is not healthy for the kids to have these random communications while with the other parent if they aren't asking for it. They should really be present with the parent they are with. I have been at this divorced parenting for 11 years since my daughter was 6 months old. I've learned a thing or 2, have done a lot of research and spoke with therapists.

If your DAUGHTER really wants to facetime on her time, and it's not your W using your child as a pawn, then schedule times. It shouldn't be random.

Your W is playing some cruel control games at the expense of your D, and it is not right.