If the damage consists of metal from the screw slot being lifted up
etc. it is surprising how much it can be improved by removing the screw,putting it in a vice, and working carefully with a small flat faced punch and hammer to move the metal back into the slot.
Touching up the slot with a screw slot file and a little aging
will make a big difference. Maybe not perfect, but a lot easier on the eyes if you don't want to go the weld/engrave route.
There are good ideas in just about every post but IMO the above is the best/least expensive idea if the metal has just been displaced. It's amazing to see the improvement that can be made by working carefully with a small hammer,punch and file. If that doesn't work to someones satisfaction then one of the other alternatives can be considered.
Jim