Might be the same thing. The whole freewheel assembly appears to be rocking in a circle relative to the drop-out, moving a couple of mm. It looks like a badly bent axle, but the axle isn't bent.

How thick is a White? I have less than 1 mm between the freewheel dogs and the dropout now, so anything thicker and I have to either re-dish the wheel, which I'd rather not do 'cause I don't trust a really flat wheel (or my skills to build one) or just re-space both ends of the axle and spread the frame.