Unicode does offer CLDR names for each emoji, they’re not set by individual providers. These are the current names for those three as defined under Unicode 15.0:
CLDR names have changed between releases, but it’s not too common. I’ve not dug back over the history to see if that’s the case here. The problem now is changing these after the fact, as it has the potential to break a lot of posts if both permutations aren’t covered.