To the untrained eye, the two trims may appear similar.
But they are quite different. For one, farriers learn how to trim a hoof in preparation for shoes. Even if they don’t nail on shoes, they still trim the same (unless they’ve learned the barefoot trim).
Barefoot trimmers leave the sole and frog alone for the most part while farriers may pare out the sole and trim back the frog. Barefoot trimmers will focus on taking down flares in the hoof wall while that isn’t usually a concern for farriers. Barefoot trimmers will usually roll the hoof wall in what’s called a Mustang Roll. Farriers don’t typically do this. Those are just a few of the differences.