I think a new magazine spring could be "weakened" by keeping it fully loaded - but I prefer to call that breaking it in. After that point, it doesn't seem to make as much of a difference, or at least, it shouldn't, unless Mossberg is using some seriously low quality metal in their springs.
As far as whether most popular pump shotgun designs are drop safe - excellent question. It's a question that has been debated quite a bit on gun boards. Unfortunately, what often happens is that people avoid the question entirely, and start replying with "oh well why not just load a round when you need it?" or "I never keep one in the chamber." Neither of these comments address whether a shotgun is drop safe.
I am of the belief that for the most part, a popular model pump shotgun isn't going to discharge if dropped from, say, 4 feet. But again, I can't make a really strong claim about that, because I really do not know. I don't believe there's any sort of firing pin or hammer block in a 500, 870, or other actions based on those actions.
I've thought about dropping my shotgun with a cocked hammer, safety off, and empty chamber, just to see if the hammer would fall, but didn't want to mess up my sights (yea... I know, maybe I'm a wuss, but I like my sights!). I have tried to slam it down on the ground on the buttend (of course, my recoil pad absorbed a good amount of that force, so I don't know if it really proved anything), tried dropping it on the side from about two feet, and just yesterday, rested the buttsock on a solid surface, then took a non-marring mallet/hammer and whacked the muzzle straight on several times with a good amount of force (the scenario most likely to produce an AD is dropping it straight on the muzzle). Nothing happened, but I don't know exactly how much force I was applying. I don't know if it was really equivalent to a fully loaded shotgun hitting concrete ground, muzzle first. I didn't want to beat it up more because at that point, I just felt like I was abusing it.
I currently don't keep my SG loaded at home, but if I did, I'm wondering whether it would work to have a shell "half" chambered, that is, drive the bolt closed, but leave it open about halfway. This way, if you need it, all you ahve to do is drive the pump forward just that bit. This should be very quick, and should alleviate most of the noise issue from a full working of the pump action, but should also leave the shotgun unable to fire accidentally... I'm assuming it can't fire it the bolt isn't fully closed. Maybe that is a bad assumption?