No, that’s not what otaku means. Otaku can be completely disconnected from Anime, and if it is about Anime then it does not have to be connected to girls. The other way around liking the detective series conan or ghibli movies doesn’t make somebody otaku, just like enjoying a Disney movie doesn’t make you a cartoon nerd.
If you read what I wrote you will find I did not equate otaku with anime. I wrote that otaku includes obsession with anime girls. It can include other things too. I don't know what point you mean to make.