Have adjusted it like that. Also removed the jumper altogether to see if the disc would move more, but it didn't.
I measured the diameter of the peg on the driving wheel and it's 0.3mm, is this the correct size?, to me the peg looks a little bit smaller then the other once I see pictured here.
It is supposed to be completely flat, no wobble. If it's not flat there is a risk the disk is not just scew but the date ring also is misaligned to the star wheel. The snappy action during date shift will for sure not work in that case.
A date jumper is supposed to do what the name applies, keep the dial in place with a small force, just to keep it in place only by friction will make the dial move a slight bit with every small chock the watch gets and I doubt even ROLEX haven't made it work that way, but one never knows