I’d like to put it this way: There are two kinds of furries.
One are the “furries by choice”. I also call them “core furries” because they’re at the core of the furry fandom. They love anthropomorphic animals in general, regardless of franchises. Their fursonas aren’t based on any one franchise either, they’re generic (semi-)cartoonish wolves, foxes and what-have-you. If someone from outside the furry fandom thinks of or talks about furries, they mean these furries. If mass media pounce upon furries like vultures and imply it’s a sexual fetish, they mean these furries. The CSI episode “Fur and Loathing” meant these furries.
By the way: Not even all core furries are fursuiters. Most can’t afford an expensive fursuit and/or don’t want to spend that much money. The idea that “furry” = “fursuiter” comes from TV and YouTube reporters who only ever aim their cameras at fursuiters because plain-clothes furries are boring. Same as with anime conventions or comic cons where the cameras only ever show cosplayers.
The other one are the “furries by definition”, the definition being “someone who is a fan of anthropomorphic animals in whichever way”. I also call them “fringe furries” because they’re at the fringes of the furry fandom. They don’t necessarily identify themselves as furries, nor did they choose to be part of the furry fandom in general. What makes them furries is that they’re fans of something that involves anthropomorphic animals. And by definition, this makes them furries whether they want or not. It doesn’t make them core furries, but it makes them furries. Neither mass media nor anyone else from outside such fandoms know that these furries exist.
You don’t have to be a fursuiter to be a furry. You don’t have to yiff to be a furry. You don’t have to identify as a furry to be a furry.
If you’re a Sonic fan, you’re a furry.
If you’re a fan of The Regular Show, you’re a furry.
If you’re a fan of DuckTales (either one), you’re a furry.
If you’re a Lion King fan, you’re a furry.
If you’re a Zootopia fan, you’re a furry.
If you’re a Gargoyles fan, you’re a furry.
If you’re a Rescuers fan, you’re a furry.
If you’re a fan of Disney’s rendition of Robin Hood, you’re a furry.
If you’re a Darkling (Darkwing Duck fan), you’re a furry.
If you’re a Spinner (TaleSpin fan), you’re a furry.
If you’re a Rangerphile (Chip ‘n Dale Rescue Rangers fan), you’re a furry.
If you’re a Goof Troop fan, you’re a furry.
If you’re a Secret of NIMH fan, you’re a furry.
If you’re a Balto fan, you’re a furry.
If you’re a Cats Don’t Dance fan, you’re furry.
If you’re an Ice Age fan, you’re a furry.
If you’re a Redwall fan, you’re a furry.
If you’re a Warrior Cats fan, you’re a furry.
If you’re a Mickey Mouse fan, you’re a furry.
If you’re a Looney Tunes fan, you’re a furry.
If you’re a fan of a web comic such as Kevin & Kell, Sabrina Online, Ozy & Millie, Lackadaisy or, yes, Freefall, you’re a furry.
And so forth.
So yes, if you’re a brony, you’re a furry.
Wait, don’t worry! I’m still not throwing you together with the stereotypical fursuiters and yiffers. All this only makes you a fringe furry, the kind of furry you become automatically by definition. You can be a fan of many of these things at the same time without becoming a core furry.
If you don’t want to be one of “those” core furries, simply don’t be one. You have to want to be one of them in order to be one of them. Easy as that.
And if you’re just a fringe furry, the kind of furry you become automatically, you’re still not one of “those” furries.