I use the larger ones on almost a daily basis; twice yesterday. I’ve never used the residential one.
At least on institutional hinges mounted on steel doors and frames, it works great. I’ve never had an issue damaging hinge screws; but again, the hardware I work on is much different than residential, or even commercial grade.
The one and only problem I’ve had with it is bending the hinge too much, at which point the door won’t stay fully closed. Instead, it springs open a few inches. I solve this problem by placing progressively thicker strike plates between the hinge leaves (leafs?) and shutting the door on them. This spreads them apart, so the door stays shuts. It’s a balancing act to get it just right.
I almost always use it on the top hinge in order to square the door in the frame, by raising the top non-hinge corner. Although I don’t think this is a recommended use, I’ve used them on all three hinges to move the entire door closer to the hinge side of the frame.