Why would a zoophile care about societal norms lol. Being a furry is already heavily straying from what most people would consider normal. I doubt being "openly furry" is easy, I would imagine many furries have a difficult time with social interaction.
Personally, I think that as long as "furryness" is not a pervasive aspect of someone's life (to the point where they would literally walk around dressed in a fursuit at home for example), it should still be considered as normal. It's only when people actually get into fursona and shit like that that it's actually scary from my point of view.