My dog's tail glitches into its body, and it seems to be from the client side recognizing it as a normal wolf still? I'm guessing that due to the "30/8" health thing, and that my other friends who play on my server with me say the dogs tail looks normal for them but their own dog's tail will glitch out client-side too sometimes.

You need to revise your issue in order for me to better understand what's happening. You can find the rules here: https://github.com/ProPercivalalb/DoggyTalents/blob/master/.github/CONTRIBUTING.md