There are always people who insist that "Furry" doesn't apply to them, but almost everyone lumps Scalies and Feathered Folk in with Furries (including most of those being lumped).
A related term OTL, which includes all people who identify as animals or fantastic humanoids (elves, dwarves, angels, et cetera), is "Otherkin". "Furries" isn't a subset of "Otherkin", though. "Furry" has shades: the broadest category is Furry Fandom, which is just "people who like animal-based characters in stories and art". The demonym "Furries" narrows it to "People who act like they are animal-based characters in some manner", which includes fursuiters, roleplayers with furry characters, and animal-based Otherkin. A person can be in Furry Fandom without being a Furry, and a Furry is not necessarily an Otherkin. To qualify as Otherkin, one must have a deep conviction that one is fundamentally nonhuman on some spiritual level.
Handwavium, as usual, complicates matters, although possibly not quite as much as I originally thought. Most people with "Furry" biomods are inverse Otherkin: they are fundamentally human, despite appearances to the contrary. "Normal" Otherkin probably account for the majority of self-inflicted, deliberate, non-emergency biomods, and certainly enjoy the best rate of satisfaction with their biomods.
A related term OTL, which includes all people who identify as animals or fantastic humanoids (elves, dwarves, angels, et cetera), is "Otherkin". "Furries" isn't a subset of "Otherkin", though. "Furry" has shades: the broadest category is Furry Fandom, which is just "people who like animal-based characters in stories and art". The demonym "Furries" narrows it to "People who act like they are animal-based characters in some manner", which includes fursuiters, roleplayers with furry characters, and animal-based Otherkin. A person can be in Furry Fandom without being a Furry, and a Furry is not necessarily an Otherkin. To qualify as Otherkin, one must have a deep conviction that one is fundamentally nonhuman on some spiritual level.
Handwavium, as usual, complicates matters, although possibly not quite as much as I originally thought. Most people with "Furry" biomods are inverse Otherkin: they are fundamentally human, despite appearances to the contrary. "Normal" Otherkin probably account for the majority of self-inflicted, deliberate, non-emergency biomods, and certainly enjoy the best rate of satisfaction with their biomods.