No wiggles here. The pivot adjustment is.."touchy". It's got a fairly narrow degree/range between wiggle and non-centered blade. My blade came slightly off-center, so to fix that I reset the pivot and found there is a solid sweet spot after wiggle, but before blade uncentering occurs.
I could see how his could've wiggled - but he should've just adjusted the pivot slightly. Very solid and centered after that - perfect, actually.
They come lock-tited, according to a few disassembly videos I've seen, so once adjusted, they'll stay.