That's quite surprising and I've often proven this "gain staging" theory to be wrong if you stay in the box (although it may depend on what plugins and what DAW you are using, all tools are not made equal).
Just do the test for yourself, take an audio track, duplicate it. On the duplicated track one, put 5 trim plugins with +12 db gain on each. You're boosting your signal by +60db which makes it clipping like crazy (you will NEVER ever have this kind of issue in a mix). Now put another Trim plugin after those, set at -60db and reverse the polarity. Play your original track and your processed track together and you will get perfect silence, they null because they are exactly the same, no clipping at all. Even with +60db of clipping to start with.