Babies and children aren't dolls to be shared out.
Except that is exactly what the family courts do.
If you refuse contact to coercive controllers, there is a very real risk that they will use the courts system to abuse you further and embroil the children in years of accusations, evidence gathering and blatant lies.
Some will walk away without applying to the courts, but not all will.
Coercive control of the RP does not factor in whether the contact is ordered with the NRP.
If you enable or encourage contact, they use constant demands, last minute changes and emotional blackmail to abuse you.
The OP is taking the sensible stance of enabling the contact he has requested, while resisting his efforts to use it as an opportunity to abuse her.
There is no suggestion that he is not caring properly for his son.
Victims of coercive control constantly question their own decisions and perceptions because of the damage done by the abuser. The comments on this thread have validated the abuser's accusations of the OP.
Basically she was worried that he was right that she should jump when he clicked his fingers and MN has told her that he is.
She can refuse contact. She can reduce contact. If she does, he is likely to escalate his abusive behaviour and end up applying to the courts. He will then have contact ordered which she will be required to enable and he will not be required to use. That situation is no better than the one she is in already.
The OP would be better off facilitating contact as she currently does, giving no hint that she wants it to cease, refusing to be at his beck and call during contact and hoping that he gets bored of the game eventually.
Whatever she does, he will be able to use this baby to abuse her for the next 18 years if he wants to.