I'm a little unclear on how the furry identity works. Is it like an LGBT+ thing where you just are this thing regardless of your feelings or desires, or does wanting to be a furry make you one? Like, I've fought against being trans much of my life, but now I see I pretty much always was. But I don't know if liking the puppygirl idea makes me a furry, or if that's something I have to have always been? (this is not a reaction to a recently popular puppygirl, I've meant to ask this for a while) I also may be terribly misunderstanding furries; that's a taboo subject where I live, so I don't know much.
FurScience has a few classifications (that they use mostly for survey purposes). Most people just appreciate and enjoy the art and culture, at the far end of the spectrum, people identify as part- or whole-animal, or that their past life was a specific animal. These people are in the minority, and I'm not saying it's right or wrong, just what is common and uncommon.