Aaaw sandy! If you really believe in the supernatural, I think you are reading too much into this poor example. It's clearly a natural physical phenomenon even if the exact reason has not been precisely defined.
I cited sympathetic vibration earlier - an expansion of earlier vibration crowd-induced postings. If we now combine that with a wobbly base then that's it. Physics - the only base that can touch all points on a flat surface has 3 "feet". That's why three-legged stools or ladders are more stable than those with 1,2,4 or more. Slabs of blue-tac would stop the rotation entirely but the museum don't want it to stop even tho' they are not fiddling it.
And more - it might stop if removed from the glass case as glass is elastic and could well amplify exterior vibrations like a drum-skin.
However, unlike the statue, you are clearly immovable, lol.
Fine, carry on with your beliefs that's your prerogative but you will convince very few.
Good and interesting posting sandy.
Thank you.
Regards,
SIQ.