My houses were built before AFCI (arc-fault circuit interrupter) became a requirement. Hence, I have no experience with them, but it appears that this is not yet a mature product that is as reliable as it should be, even though its intended function is highly useful to prevent fires.
The other side of nuisance tripping is an AFCI that does not trip, despite multiple attempts to cause arcing. ....
I am going to make a semi-educated guess about why it didn't trip. Typically, a loose connection in a home that would start a fire would be something that was working fine for a while, then loosened as it aged.
Think about a wire being connected, but a poor connection versus totally loose like in the video. I think you'd get an arc across the poor connection as the 50/60 Hz voltage rose (along the sine wave), and then it would extinguish as the voltage dropped near the zero crossing point. This would produce a discontinuity in the current waveform, with a high-frequency component as it arc over, and then extinguishes on the down-side of the sine wave. That would be high-frequency, but with a 50/60 Hz repetition rate (edit/add: actually, a 100/120Hz rep rate, as you'd get two arcs per cycle, a 'make' and a 'break' - further edit! or is it four per cycle? A make and then break on each half-cycle?).
So I'm guessing that the signal detectors in those AFC breakers are looking for that 50/60 Hz rep rate as well, and he really doesn't get that with his test. But he still makes a good point that his failure could happen, it could start a fire, and the ARC isn't responding.
IIRC, you posted some videos of arcs on solar panels on the DC side. Those demonstrated how dangerous DC can be, as w/o the 50/60 Hz return to zero to break the arc, the DC arc just keeps going. Somewhat related to this.
Maybe later I'll finally get around to starting another thread. I think I read on this forum about an electronic monitoring service that some insurance companies were offering for free. I signed up, it's a box that monitors parameters on your line, and sends some data to the cloud for non-real-time analysis by big computers. So far, no fault alarms, but it has reported a couple short brown-outs and a couple power surges (at least one of those I also detected with my eyes/ears). It said those were rare enough to not be considered a problem. I've been tempted to test it like this guy did, and see if I get an alarm report. The box and 3 years service was free.
-ERD50