General Discussion

Just as "single father" is accurate when a man is raising a child or children alone regardless of the reason he is single.

Your post assumes the weight of animosity that, frankly, is hardly ever there when I hear the term "single mother" used. In most cases I see single mothers lionized as heroes because they're doing the work of two people alone, arguably some of the most difficult, emotionally exhausting (and rewarding) work a human being can undertake. And I'm not going to argue that they shouldn't be lionized. I'm not (and never will be) a parent but I can at least conceptualize how awesomely difficult the task of raising a child can be.

This post strikes me as a solution in search of a problem, frankly. If one hears a single mother described as such with scorn or derision, by all means, push back on that nonsense. If they're not spoken of in that way then nothing need be said at all unless one chooses to agree.

That seems to me a more reasonable approach than demanding that we stop using specific but accurate words to describe someone.