I agree it would be best to leave them together, easier and highest chance for success.
If the male starts getting two mean you can remove him.
I’m dealing with a bp male (fertile-I think) and convict female breeding. First time the convict really roughed up the parrot, but they’ve gotten better. They keep eating the eggs though. I even do see fertile ones

I guess the moral of that rant is that the pairs do settle after a few rounds.
Are there any dithers? Having something else to chase besides each other helps pairs be calmer with themselves.