I have a couple perspectives when it comes to this whole stick controls vs. motion controls thing, so I'll split it up here.
I've been a member of the Touhou community for going on six years. There are multiple ways to play those games, namely using a keyboard vs. using a controller/pad, and every once in a while I see someone inevitably make a forum thread with the exact same question: which one is better? One difference between Touhou and Splatoon, however, is that with the former, there is very little if any tangible benefit from using one type of controller over another - you have access to all the same motions and techniques. And every time one of these threads appears, the overwhelming sentiment expressed by those who respond is that you should use whichever controls you feel most comfortable with. Even with a game like Splatoon, where one control scheme does offer significant benefits, as you mentioned in the video, I would still preface any sort of discussion on this topic the same way, that people are free to use whichever controls they want and should not be ridiculed for it.
At the same time, I'm hesitant to call "inexperience with a control scheme" as a valid reason for not considering learning it, especially when it does give you tangible benefits. Many Westerners in particular have played various console shooters with sticks for years. I'm no exception, having played quite a bit of Halo throughout the second half of high school and throughout college (never competitively, however). On the flip side, I've never played a PC shooter, where motion controls are supposedly more common. With that kind of personal history, I went into Splatoon wondering just how well the motion controls with the Gamepad would work. I tried it a couple times near the beginning, and like many people I had a similar reaction of "wow this feels so awkward I don't want to play with this" and turned them back off. However, after some time, I eventually started seeing just how much the stick controls were leaving me at a disadvantage, mainly from the slower turning rate and inability to jump and aim - I felt like I was actually limiting myself at a rather basic level by continuing to use only sticks. That was what finally told me that I shouldn't just dismiss motion controls because I didn't know how to use them. So I sat down and played through all of Hero Mode with motion controls, not using the R-stick at all so I could teach myself to rely on using the Gamepad to aim instead. And by the time I was done, I felt comfortable enough to bring it into my online play, though I obviously still needed to make some adjustments and improvements along the way.
I guess that's the main critique I have about the linked portion of your video, the commentary gives the tone that motion controls simply being new for a lot of us, and different from the norm for console shooters, is somehow not on us players but is instead the fault of the control scheme itself. Yes, it's new, but put it in perspective: at some point when we were all younger, we had to learn how to use stick controls as well. We shouldn't be holding a "new" control scheme to a different standard like that. Saying you're inexperienced sounds more like a john in this case. You're gonna have to put in the time to learn motion controls, it's not something you can just pick up instantly, but myself and others who've learned them will tell you that it doesn't take an inordinate amount of time to do so either. Your comments related to the "physical" nature of motion controls are in a similar vein. If your aim is unsteady (from here on I mean "you" generally, not calling Cobbs out specifically), then you need to practice more. In short, it's on you, not the control scheme. Similar thing if it's some physical condition that's beyond your control; yes it's unfortunate, but it's not anyone or anything's fault. And if you're injuring yourself playing a video game, then for god's sake stop playing so you can heal up. And preferably figure out how to prevent yourself from getting injured in the future.
To sum up, again, you can always use whichever control scheme you want, but I would also advise others to think about why they're making the choice they are and see if it actually makes sense.