Hey and welcome! Classic bike, great to ride (although I see you've got a much newer cruiser as well).
Way smarter people than I will likely provide additional insights, and I'll follow along, always like learning things.
From your video, it looks like it's not charging when you're in idle. Mine does the same thing, probably normal. Related to whether an alternator can make juice at low idle. If you advance the throttle (via the "choke" that isn't actually a choke) does the charge light go off?
Once you've warmed the bike up, does it throttle up better, by which I mean, without stalling? I wonder when you quickly open the throttle, if your fuel / air mixture gets out of whack, too much of one or the other, not sure which: my K75 will bog down if I crack the throttle to quickly especially if it's cold and although mine hasn't stalled out.
The fact that it seems to be worse when it's cold leads me to consider the possibility of over-fueling in that scenario. I "baby" it a bit until I've got it up to operating temperature, and it doesn't bother me that much. So thanks for posting the question, I look foward to others' answers.