That's not what she said. Regardless of how stable you are, if we're together and you have kids, that's still food off of my table going to someone else. Time away from me devoted to another. End of story. And if you're not spending enough time/money with your kid that's even more of a negative. There are no upsides to me being childless and dating a man with kids. I can admit, I'm selfish and don't want to deal with it. I don't even look at married men (do y'all really want women who go after these types?!) or those with kids.
My friend is a single mother and she is doing better than me honestly. She used to not date single fathers! I used to think that was insane. I talked to her about it and she gave it some thought and has opened up her dating pool. She's gone on more dates and has more suitors that accept her lifestyle and more importantly, understand it.
I'm 31, no kids and in a relationship. If it doesn't work out, I may have to make some adjustments. At a certain age it just becomes more difficult. But let's not pretend having a kid gives you a premium on the dating market. It's a demerit whether you're a man or a woman.