Like anything else that shows a "problem/defect", it is a small example of the total number of units it represents. So is it a widespread "defect" or is it confined to those examples in the videos? We don't know. The ones I have seen, have shown that in the case of some 320s (confined to those in the videos, and assumed as an acceptable representation), the striker safety is fully disengaged when all of the slack trigger travel (pre-travel) is taken up and the trigger is at "the wall" (about to fire). Is it responsible for the unintended discharges? Again, we don't know, but it does show that theoretically the gun can fire with very little trigger movement. But there still has to be trigger movement to "take up the slack" (pre-travel). Attributing it to "carbon build-up" as you said it rather far fetched IMHO because that would mean a gross neglect of basic pistol maintenance. 1mm of carbon would be quite a bit. Guess it may be possible because not everyone takes care of their firearms as they should. This is still not a defect that is attributable to design per se.
No one likes to have error pointed at themselves, and please don't take this as defense of Sig from some "fan-boi", but everything I have seen and heard points to some sort of error on the operator to some degree. Again, I use myself and my pistol to form this opinion as it has never had any unintentional/unintended discharges with mine. I am not a firearms expert or engineer/designer whatsoever, but have felt that for duty use, a better safety system should be used. A dedicated trigger safety that prevents movement unless the trigger finger is placed purposefully on it and defeats the safety would be first and foremost. And in the case of the striker safety being fully defeated with such little trigger movement, and thus being the only mechanism that prevents the striker from moving forward? Yeah, that's not ideal, again IMHO.
Even with all of the safeties in place, I have seen plenty of unintentional discharge cases over the years, especially with holstering/unholstering the pistol. Like it or not, all were from poor handling, or a foreign object interfering with the pistol being stored (holster), and not a design defect. Once the pistol gains a bad reputation though, it is an uphill battle to overcome it. It's the theory of reputation, ie; you can climb a mountain a thousand times and still not be known as a mountain climber. But do just one thing wrong and thats the label you now wear. But with this in mind, and the not most ideal (IMHO) safety mechanism(s) design, I do think Sig should take another look and address the issue in all of the pistols manufactured/sold. But thats just me. ***Activates flamesuit***