as a furry myself, i feel qualified to explain this in absence of the entire community.

IMO. Something is classifiable as furry if it more closely resembles an "objectively furry character" than if it more closely resembles a human character. I.E. a human with a tail and ears is simply not furry enough to be furry. Hence why neko exists. But if it more closely resembles an actual furry I.E. it's skin is covered in fur entirely, than i think it's fair to classify it as a furry.

TL;DR moving from left to the right, once you pass the median character, that's all furry, everything on the other side is more closely related to humans.

One of the primary differences between humans and apes is the hair after all.