> A camera rotating or tilting
> I'm pretty educated on what I'm talking about.
Then you should know that tilting is rotation. Unless by rotation you mean specifically around the optical axis to differentiate from pitch and yaw... in which case you should know that such rotation is uncorrectable by optical systems - though it is correctable by sensor-shift systems.
I think the point you're trying to make with "a few degrees has magnitudes more of an impact" is that rotation has more impact than shift. I agree that the rotation caused by moving the lens a few millimeters has more impact than shifting the camera a few millimeters for sufficiently distant subjects. This is why early IS systems were focused on mitigating pitch and yaw as opposed to shifts: moving lens groups to counter millimeters of rotation is within the physical capabilities of a system that can fit within a lens and it gives a lot of bang for the buck in a narrow sweet spot. Rotational movement is most prevalent in hand-held cameras while operating the camera - for example pressing the shutter button - and less so when it's just being held. This is why there was a standard trick in still photography of using bursts of continuous shooting to get clearer captures: the first frame is impacted by sudden pitch but subsequent ones are much less so. OIS does an excellent job of addressing that first frame blur.
Due to inertia, when a camera is attached to a larger object in motion (athlete, surfboard, vehicle, etc.) random rotational movement is much less pronounced while continuous shifting is. Correcting sustained directional movement - be it rotational or shift - is not something OIS systems are designed to handle. They are meant to correct random movement around a mean, essentially they provide an instant mechanical "reversion to the mean" of sorts. Correcting tens of centimeters of shift is well outside their capabilities and shifting a camera tens of centimeters during exposure will absolutely result in noticeable blur. It doesn't remotely require "the fastest possible athlete" to achieve that level of shift during a 1/30s exposure.
The point is not that EIS is better than OIS - the systems serve different purposes. The point is that OIS doesn't bring as much value to action camera use cases and it comes with the significant downside of reduced durability.