No, I know exactly where you're coming from.
But as I went through my life actually catching myself from saying girl I began to see that this one is very, very, contrived and has become part of normal speech in a big big way.
Calling an 18 year old female a woman to her face in casual context is seen as very, very weird, by everyone involved. So I started asking around about it and lo and behold, indeed, young women don't like being called women. They want to be called girls.
In my mind, "girl" now means two things - a child, like you say, but also an older, but still young, sexually mature female. 16 y/o girl, 19 y/o girl, that kind of thing.
Just as "guy" pretty much means that same thing for males. It's a term that you get applied to you in adolescence and gradually grow out of. Not like boy and the other meaning of girl, which really does mean child.
Which is why it would be rude to say "good girl." It's a fine line, this is true. But I've pretty much just decided that as long as I can avoid calling 15-25 y/o males "men" anymore than I call females in that range "women" then it's okay to call them girls.
Also, I don't know about you Putin, but I find that the usage of girl is finally falling off to an acceptable level. In the old days, it seems, woman were called girls all the way up to their late thirties, or more. That *is* infantilizing.
It's all about context. If I walk into a room of beautiful 20 year old female models and say "okay girls, let's go get dressed" or something, that's belittling and creepy. But if I'm talking with a friend of mine and she's stressing about her grades and I say "hey don't worry about it, you're fine. You're a smart girl."
This has the same meaning as "You're a smart guy," which is to say, basically neutral. It's sort of casual, and implies youth. That's about it.
So I stand by my remark. I take language seriously as well, but I don't think I did anything wrong.
Also I don't see rape/sex objectification in a person's attempt to get laid, have "wingmen", or anything else. I also care a lot about rape culture, but once again I stand by what I said because quite frankly trying to get in a girl's pants is not a crime nor is it abnormal or delinquent.