There are so many trade-offs here it's impossible to actually discuss all of them in any sensible way, that's why I suggest simply trying them yourself, as the proof is in the pudding.
The recommendation of 1/200s is 4 times shorter than 1/50, so the recommendation for 13mm and 11mm lenses are vastly different despite the focal lengths being quite similar. I understand this is a generic recommendation, but that only works for generic people, and I have never met any of those before!
I'm assuming your statement about the ILS producing more detail in RAW is about still images? That's a whole other thing than video and these tradeoffs all go completely different since the modern standard for getting sharp images seems to require a shutter of 1/5000 or faster, if I go by the fact that people are photographing action sports and seem to want sub-pixel sharpness instead of their images representing the fact that there is any motion involved at all in the scene.
Anyway, I'll leave you to your assessments, but I can tell you that if you shoot video on a potato and upload it to YT at 480p with a 180 shutter and compare that to video shot on the BM 17K URSA with a 45 shutter and uploaded at 8K, there will be people who prefer the 180 shutter just because the motion is so important to them. This is perhaps a drastic example, but a more practical one would be why anyone at all still shoots on 16mm. It is completely technically inferior in literally every regard, and yet, people still pay a huge amount of money for the pleasure.