You just ignored two incredibly relevant posts...Shotguns do not have either of those things, and pistols have rifling (not that it matters that much with a 6 inch barrel).
12 gauge shotgun slugs travel around 1500 fps, which is very close to a .69 caliber (16 gauge) Musket balls 1200 fps.
Muzzle velocity - Wikipedia.
Subsonic, no rifled barrels, both of them.
But fine - here is how a musket fares in the same tests:
And in this video, they are literally firing ACTUAL 400 year old medieval musket balls into things:
Ballistic jelly at 6:07 above. It utterly pulps it.
Now imagine one of them in the chest or head and the kind of implosion it would cause.
The first video you linked of these two is one that @PsyzhranV2 linked 2 posts up and that I went through, in -detail- describing how awesome the descriptions were, how accurate the discussion of gunpowder was, and how it came out to the same muzzle velocity (Exactly) to the previously referenced study. Seriously, that is a -wonderful- video that provides reams of useful data that we can discuss!
I then went over the wound channel (The hole through the ballistics gel) and the non-perforated disruption channel around it. Like literally look at the post above your "Rebuttal" here.
The second of which shows a musketball fired from a modern shotgun. He claims that it'll be moving 1200fps. Which, if my math isn't terrible, is right around 360m/s. Slower than the musketball fired in the first video at 414m/s, but about the same speed as the tumbling cuboid of lead.
You then say that the Ballistic Gel is "Utterly Pulped" but we're not shown what it looks like after the impact. Just the gummy bears jumping up off the table.
What kind of gunpowder was in that shell? What was the actual muzzle velocity? How much damage was actually done by the musket ball into the ballistics gel? These are things we never actually see.
But if that second set of gelatin is "Utterly Pulped" at an unmeasured but declared lower velocity and we saw the actual damage done by a similar round at a higher velocity... Then your definition of "Utterly Pulped" is a bit suspect. Then again, Utterly is a superlative so I guess exaggeration is to be expected.
Though that does lead to an interesting question that neither video offered: What's the Gelatin's density? Depending on how much or how little gelatin you use in making the gel it can be more or less durable. I wonder if the guy explicitly trying to show off big bombastic visuals without going into actual scientific details might be using a lower gelatin mix to create a more dramatic visual of impact?
It would certainly reflect well Taofledermaus's channel in general, where he shows off dramatic and strange ammunitions to best visual effect...