"Many smaller wall safes are simply yanked from walls and carried off?"Bolting down safe to wall studs and floor joists or concrete floor through many safes predrilled holes helps. So does encasing safe in solid poured rebar reinforced concrete block walls as well as an alarm system with back up power source.
A bare unanchored stand alone safe? Not so much depending on safe's size? Many smaller wall safes are simply yanked from walls and carried off?
Purposely, without elaborating too much, it may help to think of more a "safe system" instead of just a safe itself?
That might be an idea. Have a wall safe visible, as a decoy, and have the actual "good" safe well-anchored, and hidden. The bad guys may expend their energy removing the wall safe and then high-tailing it off the property with it. Be sure and put something insignificant in the decoy safe that will move around so they'll know there is a "prize" inside.