Thank you very much for the revision, @Demeter Dzadik (Mets).
I asked my horse friends and experts and we all agreed on that it's more convenient to give these bones names that are broader terms. Someone I asked said "We aren't making any surgery here, so I think hoof would be best for using it.", which sums it up very well.

Here's a sketch of what we would like to name the bones. This is easy to understand for beginners and experts, so nobody will struggle with the renaming - yet it will be "more horse-y", as you stated earlier.

(* respective front and hinds/back)

Hoof*
Pastern*
Cannon*
Forearm
Arm? Chest? Ellbow? Humens?
Shoulder
Neck
Jaw
Head
Ear
Spine
Tail
Hip? (rather not "Pelvis")
Thigh
Gaskin
Cannon*
Pastern*
Hoof*

(Cannon with two n's.)

I went and tested the file again, to make sure it all works, which it does. Looks like a solid solution to me. Thanks for the time and effort that went into this.
If there is anything else you need to know, just let me know. I'm happy to help as far as my knowledge and available time goes.