I'm a single father who was raised by a single mom.
I think anything that glamorizes single-parent homes is a bad thing. You want to avoid it at almost all costs. We are not heros or heroines - we are cautionary tales.
But it IS hard work and when people recognize that - I think it's OK to tell someone that you appreciate their hard work.
Valid observation.
What I want to add is that I know one girl I greatly admire. Pregnant at 18, lots of help from family. Baby father is a jerk and father of convenience. When he can he shows up to be a Dad. Good times only of course. She works and goes to school and is raising a beautiful young girl of seven now. I truly admire her and I tell her so often. However she herself would tell you that her path has been a tough one. She is seeing a wonderful man now but she has never touted her single parent status as anything more than something she does because she loves her child. She said she wants better for her own child and hopes she one day avoids the same pitfalls.
She is one.
I can also think of several other women who are failing at the same situation for various reasons. They are no heroes to their children or the world. They are suckers and fools for crappy men, some more than once. One will not be certain of the paternity of her child until it is born. Single parents as heroes? Not always, anymore than all married parents are heroes and very few married parents get called heroes. They should for giving their children stability and both parents when possible.