Quark emotes, Not Enough Animations, Supplementaries, and other player animation mods don't appear on transfurred players. (Which is more inconsistent than a problem)
Squid dogs do this thing where seemingly out of nowhere they'll start jittering violently (As far as I know they're the only ones that do this) https://files.catbox.moe/33wyfv.mp4

The only reason I bring up player animations is that some mods that require those animation mods e.g: first-person model requires Not Enough Animations for working first-person maps and such become incompatible.

Jitter was fixed in 24873da

Not enough anims was already made compatible for 0.13.1

Any other animation mod needs to be manually studied for implementing compatibility, and thus, would not apply automatically since the latexes are using their own animator.

I think I fixed the jittering while swimming issue already in 0.13.1, but I'll double check.