Except for the fact that it’s not… It’s that it’s mostly safe for work, but the not safe for work part is very loud. And the louder it is, the more people think it’s inherently inappropriate, which only makes it louder. It’s an unfortunate string of confirmation bias.
Let’s compare it to my fashion, lolita fashion! It shares a name with an infamous novel, and there are plenty of people who misuse it or say it’s not safe for work. And while yes, it does have that side to it (See: Ero Lolita), the fashion itself is completely modest.
This wiki itself states that the modern furry fandom isn’t meant to be inappropriate at all, and even a little bit of research would reveal that a big chunk of furries are minors!
And the issue with content filtering is something to be directed towards the moderators, not the furries themselves.