Yes, that's an important thing that wasn't mentioned at all in the video and it's important.
If capacitors are in parallel, when testing a capacitor the ESR value reported will be much lower, it can fool you into thinking a capacitor is still "good enough" to leave it there, and a few weeks later your monitor is broken again.
I'm otherwise really disappointed.
Dave, considering so many people watch your videos, and you know they're gonna recommend them to others, it's really not a good idea to keep using crap no-name capacitors and excuse yourself saying that's all you have. Also, considering a few capacitors in that area have failed, there's really no excuse for leaving those other capacitors on the board, even though they still measured good, you can never know how long they're going to remain good. A name brand capacitor is half a dollar, even less, no reason to be cheap with that.
You should be more responsible about this, you're just encouraging people to make poor quality fixes.