Oh, I do...in a big way.
First, being single (and I mean single, not divorced) means, to me, I am in a totally different space in life. I can't even relate to a single mom. And most talk about their kids. I don't want to hear about kids created with someone else's sperm. Hanging around other singles who don't have kids is a lot more comfortable.
A lot of their interest could be that they eventually want to syphon (sp?) some of your stuff into their world. How would you feel about celebrating her kid(s)' bull$h! - birthdays, graduations, etc. - and have to pony up for a kid who will never treat you like a parent, if it were to come to that.
Another thing, especially as you describe, is when you go down the road that some have (teen pregnancies, abortions, etc), the professional world is something foreign to them -- they will never be a part of the professional world and they will be a liability to you if you are a part of it.
I date very little because 1) I won't date women with kids (unless the husband has died) and 2) I soon discard the single, childless ones who haven't gotten over daddy's alcoholism or sexual abuse issues (as it relates to them) or who feel less than complete because of reproductive issues (can't have kids but want to). Either way, too much work.
And this is supposed to be about haircuts. It totally sickens me that we have expressions like "taking him to the cleaners." The fact that a male has a penis and went to school to become a professional makes him a target of this. It's wrong. And it bites my ass when the woman has not accomplished anything professionally in her life. Face it, it is exponentially easier to raise healthy children (no birth defects or recurrent chronic conditions) than it is to go make a living in a challenging field. And one way to protect yourself from the "be needed instead of wanted" syndrome is DINK - dual income, no kids. Sad, but true.
Sorry if I am harsh. I have been "objectified" in this regard WAAAAYYY too much.