I disagree with this. These men are coming from a standpoint that the woman didn't look twice at them when she was "in her prime", banging body before a baby, no children, emotional baggage from past traumatic relationships etc.. but now when she's sick and flabby from pregnancy or letting herself go, has children etc she's now checking for you.
And a similar example I can use is a woman who used to be sexually promiscuous and loose becomes a born again virgin and won't' have sex with a man until he marries her. Many men may feel slighted or cheated by this. "You gave it up to a bunch of other men basically for free, but now you want me or another man to marry you?". I understand where these women are coming from and I agree that they should be more wise in the future about who they open their legs to, but I also see it from the standpoint of the man.
Me personally, the cons of dating a single mother versus a woman with no children outweighs the pros. First of all I'm only 21 and I don't have the means nor do I want to take care and currently be responsible for someone else's life. Now to get to the potential cons. The child comes before me, and I fully understand why that is the case and in no way fault the mother for it. So it's easier for me to just not date single mothers. If I want to spend time with the mother alone, she'd have to find a baby sitter, see if she can fit it within her schedule, etc. There probably can't be much spontaneity.
The father of the child is always going to be around, if he is. They may be having sex behind my back. The father and I may have two different parenting styles. He may be imparting different values onto his child than those I agree with. Same thing with the mother. They may have their children dressed in clothing I don't feel appropriate, feel that perming or chemically altering their daughter's hair is okay. Feed their children unhealthy food, let them watch cartoons, listen to music etc that affects them in negative ways.
And if the relationship does not work out, my relationship with the child most likely also ends. And I am not the child's father. I hear from people all the time that they are grateful for their step parents, but they don't view them as their real REAL parents.