A single case where we a video would prove that there was no shaking at this exact moment might help convince many doctors (not all, unfortunately).
Relatedly, this recent medical article [1] reports a case of an alleged short fall resulting in subdural and retinal hemorrhage. As usual, doctors did not believe in the story of the short fall (they assume a short fall can almost never cause them) and they concluded that the short fall was a cover-up for unadmitted abuse. The police was called and, surprise, the whole thing was filmed by CCTV. The videotape proved that the story of the short fall was entirely correct and the caregiver was exculpated.
Interestingly, the doctors did not conclude that their belief was wrong (short falls almost never cause subdural and retinal hemorrhage), but that it was an "outlier".
[1] https://www.sciencedirect.com/science/article/abs/pii/S10918...