Oh op I think you need to be prepared for his visiting DC to be the thing he drops if it's between that or seeing ow.
My dd was 2 when I split from my ex same reason, initially it was a 10 min WALK to see her as we were still in the quarter (army house) and even that he barely dragged his hungover/drunk arse out of bed to do! Too busy having a whale of a time clubbing with ow!
IF that is what happens DON'T make the mistake I made and bend over backwards to facilitate HIS contact with his child.
Because honestly - if they're going to vanish out of the child's life it's better they do it when the child is young enough to forget them.
That's not just my opinion that's my daughters too. She's really struggled with the rejection from her father and it's made her question her worth and if she's lovable in a romantic relationship. I've had many a night of her crying herself to sleep, raging at the world because of it.
She's almost 18 (in a few months) and she's deeply hurt but prepared that she's unlikely to get even a card from him (he doesn't know our address and has blocked both of us on everything - I recently caught a glimpse of his profile on FB but he seems to have realised his settings went open and blocked me again).
I am both furious and heartbroken for her, I also feel guilty - for giving her a shit dad and for pushing for her to keep seeing him when he was clearly not interested.
If he shows signs of losing interest in your DC don't chase him, let him either step up or fade away.