So a peach emoji is not the same thing as the iOS peach-emoji-image. Similar to how changing my font doesn't change the actual characters.
I don't think including emojis was a great idea, but now that it's happened and people everywhere use them, emoji have become characters. I agree with your point, but it's already happened and so now there's not really any going back.
I mean, this ship has long sailed, but that was a mistake nevertheless. Not everything has to be a unicode character.
For example I could see there being an emoji for keyboard cat.
However, I could totally see some kind of open source GIF library of a few hundred meme videos and pictures, to standardize the "Reply with a GIF" thing in some P2P chat ecosystem, and maybe it could have a new URL scheme for referring to OpenMemes images.
Don't tell me Presidents of the United States' song "Peaches" was about butts!?
https://en.wikipedia.org/wiki/Peaches_(The_Presidents_of_the...
The song was definitely a vaginal reference as far as I ever knew.
Personally I think there should be, actually. There's all these other body parts but these are left out. Emoji is almost becoming a language and the good thing is that everyone can understand them, regardless of language. For example I could imagine these could be very useful in an international medical setting. Or for sexting, obviously, we can pretend that's not a thing but that's a bit too Victorian for me.
Of course they're not appropriate in some settings but so are many words.
This doesn't contradict the stated goal exactly, but it seems against the spirit of it at least.