Sorry but male budgies always are “willing”
if the opportunity is there. He will come back to the nest of the hen he has prd up with, but always happy to make a side trip!
Female budgies are the discerning of the species. They are the ones who pick which male is worthy
to be her mate.
That is also what is so great about breeding budgies you can always mix up your prs each year or after each breeding. If you are not happy with the quality of the chicks you produced try a different cock with that hen. 97% of the times the hens are will to take the guy you choose for her. However, you still have to keep an eye on a newly prd up couple. When I am pairing up my birds I do it before I get to work in the aviary/breeding room. This way I can keep an eye on them for a good hour or more to see if there are any big objections. You pretty well can tell within that first hr if the paring will work out or not.