Okay. See this link for some of the terminology that I've been using: Rack Strike Elements
The Train is not reliably going into Lock when it should. As detailed in Post #34, your Bim-Bam sequences are all over the map with no real discernible pattern.
When the strike ends (either the hour strike or the quarterly bim-bams, three things need to happen at once: (1) the rack hook drops off the end of the rack (2) the maintenance lever must drop into the slot of the maintenance cam and (3) the locking lever (or detent) falls into the path of the warning/locking pin, which stops the wheel from turning and puts the Strike Train into lock. The failure of 2 or 3 is often the cause of failure to Lock or Lock reliably. When the rack hook and maintenance lever drops, it appears to me (from what little I can see) that the warning/lock pin skips the locking detent, so the wheel keeps turning. And with it, the strike train keeps running, so that excess bim-bam strikes can and do occur..sporadically. I think that this can also happen on the hourly strikes. I believe it happens in your video (before you latest adjustment) at the 1:00. Correct me if I'm wrong but I think the movement struck 2:00 instead.
IF this is the cause of the failure to go reliably back into Lock, the fix would be to adjust the maintenance cam so that the maintenance is in the middle of the maintenance cam's slot and adjust the warning wheel so that the warning/lock pin is about 1/4 to 1/2 turn away from the locking lever/detent. The warning wheel spins very fast, and needs some lead time/distance to make sure the locking lever/detent is down before the warning/lock pin gets to it.
I think you are close but an adjustment is needed to make the Strike Train go reliably into Lock when it is supposed to.
Again, please exercise patience and wait for others to weigh in.
I am making assumptions based upon an incomplete "picture" of what's going on. You can clearly see the Maintenance Cam (or Wheel) in David LaBounty's video at about the 1:40 mark. There is a cut out in the front plate above his finger. The black Maintenance Lever is also part of the Rack Hook assembly. He is talking about alignment of the Snail which is what you are focused on. While that is critical in these movements, there's more to it than that. The Maintenance Wheel/Cam and Lever are basic components in most Strike Train designs be they Rack and Snail or Count Wheel.
David's video assumes these adjustments have been made already.
Making the wrong adjustment(s) could simply compound the problem.
I hope that helps.
Edit: The Maintenance Wheel and Lever are clearly visible in your Post #19 photo.