Only if something is killing them, like high copper levels in your water, or a fish. I've seen skunk loaches barely 1.5 inches pick at a massive apple snail, taking bites out of its foot until it eventually died. They won't bother healthy plants (a big apple snail is like a bulldozer, though, I've had trouble with them uprooting new plants that haven't established their roots well yet), but a dead snail will decay quickly and can cause an ammonia spike in a small tank.
I've also heard having a lot of apple snails can make for some cloudiness in the water, as infusoria thrive on their waste. I've never had this problem.