I just rebuilt a USD Conshelf IV with OEM parts but struck an annoying IP problem as it was like new inside...I pulled it partially down again and put a tiny bit of lube on the push pin shaft and changed the backup washer from split to dished solid type in the crown.
Reassembled with no other changes and it snapped to 125 psi and stayed rock steady ever since!
If I had to pick one of the two, I'd say the backup Teflon washer is the culprit. Folks sometimes forget that it's not just the seal at the HP seat, it's also the seal in the balance chamber. A distorted Teflon backup washer may have also distorted the adjacent HP seal o-ring. Nice pickup!
The diaphragm's pushrod is not much of a dynamic item. Unlike a piston shaft, the diaphragm pin just transmits force, and has no contact along its length with the regulator; only at each end. So I wouldn't really expect lube to change anything.
But nice fix with that cup-shaped backup washer! That design change was a real improvement over the split Teflon washer.