I agree with all the advice offered above, but really haven't thought much about it before.
I don't recall having or seeing a firearm incur any 'parts' damage from a loose screw.

I have however, seen, and experienced cosmetic damage caused to a firearm from using
a cheap or improper fitting screwdriver - trying to tighten those loose screws.

As important as keeping your screws 'tight' is using a top quality, correct fitting screwdriver.
But everyone already knows that.