People can parent children, though not meant to live under the same roof. His seeing his children and helping financially says they aren't without a father. Being without a parent is to be abandoned by their parent.

If he's perfect in every way, this sounds like a mental/ moral block that rests solely on your shoulders. If able to move past it, great, otherwise, seems children from a previous relationship/ marriage is your internal deal breaker.

Does it have an internal source? Are you a product of divorce or a single mom? Were you raised with rigid teachings that divorce or separated parents were undesirable?

Would be too bad to have to let him go, yet, this is his reality. Single dad of two, separated from the children's mom. Visitation non custodial parent.