That you don’t see it happening doesn’t mean it doesn’t happen. Single mothers by choice exist and while they are a low percentage, they still are significant.
As for your belief that it is better that children have fathers, that is just your opinion. Plenty of families are happy and perfectly balanced with just one parent or with two mothers. Each family is different and if the father happens to be abusive or neglectful, children might be better of with only their mother. Each situation is different.
Your question is basically a logical fallacy. It is the same as if I asked you if would you still prefer to have a father if he beats you and raped you every day? It is a fallacy because your father doesn’t do that. If I was born to a single mother, then I won’t miss a father because you can’t miss what you never had. The father simply won’t exist. And the relevant thing for a child is if he/she is loved and cared for.
By the way, since you want to be “cute” and pretend that we don’t care about children's opinions, maybe you should actually pay attention to children’s opinions. And as it happens, children of single moms are happy. They don’t miss “daddy” because “daddy” doesn’t exist for them. And while we are at it, you can also ask children from abusive homes. Some of them would prefer to not have a dad at all.
Or you could ask children who have been abandoned by their fathers and become children from single mothers by their father’s choice. Then again, you seem concerned with the idea that a woman who wants children but doesn’t want a man in her life can have that option, not with what happens if you try to force a man into the equation just for the sake of it. Do you really think that if the woman doesn’t want to be with a man and only wants a child and the man just wants to have sex with the woman but doesn’t have children is going to work well? Because chances are that those children grow up knowing that their biological father abandoned them. That is much worse than knowing that mom wanted to have them on their own.
