That’s actually very close to the word’s original meaning and the Americanized meaning where only people with the appropriate paperwork get to call themselves citizens is by no means universal in the English-speaking world. Uses like “good citizenship” are entirely rooted in the original meaning.
Citizen science was never meant to be a description. It’s a label that rolls off the tongue because of its alliteration and its rhythm and is therefore memorable. In truth, what is done on iNaturalist is not science either. The information may be used as data in some scientific analysis but it’s a learning exercise first and foremost. The whole name is a damned lie if you insist on being literal about things.
I don’t generally call it citizen science, mostly because I refrain from referring to anything as science if the scientific method isn’t involved. I like the name iNaturalist because it actually tells me pretty much exactly what the thing is, although when I see brand names that begin with a small i I always wonder if maybe it’s an Apple product, which I guess is doubly confusing because Apple neither makes nor sells apples. As I noted over in the topic that this one is followed by to iNat has become a verb and and other neologisms based on the name of this site are inevitable. So maybe let’s stop iNattering about citizen science (or whatever) and make up some new words based on iNaturalist.