So your friend says "all of them" and you think it is only 5 of them. And you admit that you do have feelings of caring for these five and that you get "googly eyed" when you see them. What are your actions when you see them? Do you act according to your values? Sounds like your friend challenged you to look at your behavior, you've done so, and have decided you are acting how you want to act and in your best interests.
If so, then I would take your friend's observations for what they're worth--just a bit of information to mull over. As long as you are acting in your best interests when you see them, I'd say there isn't anything wrong with that kind of friendship! Stay true to yourself!