I experimented a bit with 52grn A-max's at modest speeds for a bobcat and fox friendly load out of a .223rem with fair results. Really comes down to bullet placement. The 50grn V-max is not kind. Mild velocities out of the Hornet explain a bit towards it's "fur friendly" quality.
I haven't seen much nasty out of the .17HMR on fox/cats, but again, I'm never placing the bullet over anything hard.