Not just ladies. When I was a single father, I started dating a girl. One of the reasons she gave for questioning our relationship was her saying that my son would always come first. She eventually dumped me. Her saying that was a red flag for me.

I will not discount the possibility that I was bad in communicating to her my priorities regarding my son, as in general my communication skills are lacking. I think she was also sub-optimal in communicating.

Had we talked in detail (and the reason for my comment here) I would have said what you said about there being times my kid comes before her, and times she comes before my kid. But I think more context is needed here. It must be clear for the new partner (man or woman) that a kid is a committment and responsibility that lasts until the kid is grown. So I can't just take off for a week on a spur-of-the-moment vacation.

Personally, I think men who basically dump their kids when a new woman enters their life on not just losers, but people who I would question entering into any kind of deal with, personal or business. If you back out on your kid, then I can't expect you to stick to any deal we make.