I have been getting a lot of fuss over this topic, so I believe the fans should settle this matter, once and for all. We know Carol and Milla are furry, but what about Lilac? Do you consider Lilac a furry? What does it mean to be furry? The only evidence as of now is this:
Lilac is a Dragon. Dragons do not contain fur. However, she is also half a dragon, meaning the other half of her DNA could possibly contain furry DNA.