I don't think that the spring inside of the grease cup will fix this particular issue (although it certainly fixes a wobbling distributor shaft).
Take a look at the bizarre clamp on the distributor which allows the distributor body to rotate when the vacuum advance kicks in. Either something is excessively worn or there is a screw loose.
If that isn't the problem, take a look at the bottom tube of the distributor where it contacts inside of the hole in the block for excessive wear/scoring.
Carl


1952 5-window - return to "as built" condition | 1950 3100 with a 235 and a T-5 transmission