If I'm involved with a single mother, I owe it to the child just out of common decency to ensure that said kid sees me treat his or her mother well, whatever our arrangement may be, so he or she will know how to move/expect men to move as they get older. I owe the child common decency. No more, no less.
I don't have to make a child that isn't mine better -- nor is it my job to do so -- but I cannot allow him or her to become worse off because I made a trash impression on the young one. That said, I'm the kind of person to where if I cuff you, I intend for you to be the last person I have to court, cuff, maintain and so on,i.e. I plan to marry you.
Meaning that if for some reason I get to a point where I legit cuff a single mother, than that means at some point I saw myself being able to parent her kid, or I at least gave the idea some thought and wasn't afraid of it. But while I wouldn't rule out dating a single mother, I don't think I can bring myself to commit to a single mother if the father was in the picture in any fashion. Because if he is, then he has a chance. Damn near always. I digress, though.
Besides, there are PLENTY people willing to reach these standards that some of y'all are like

over, and there are PLENTY single mothers who don't have these standards in place.