If it was a canting problem, wouldn't the right shift get larger the more you raised it?
Yes, so there may be more than one problem here, but there also may not.
I was adjusting one of my LR rifles today for cant (i.e., making sure my reticle was pointing at the center of my bore). The ONLY way to get it exact is the Tall Target test. However, Doc, if your impacts were to the left of your plumb-line when you cranked up then turning your scope counter-clockwise made the shift WORSE. That is because when you crank up it is the same as using the lower part of your reticle.
I'm guessing your wrong-way "corrections" were the reason your shift was not gradual.
Today I got sighted in at 100 yds, plumbed my bullseyes and shot the bottom one. They I cranked up 25 moa and shot the same POA again, making sure my reticle stayed aligned with the plumbed bullseyes. I hit a couple of inches to the left, so I rotated my scope c-clockwise, and made it worse, just as you did. Opps. Then I rotated clockwise, got this and called it good. I'm still 1/4" off but I'll fix it some other time, as 1/4" will only be 2-1/2" off at 1,000 yds.
Being 2" off-line at 100 yds, which is not nearly as bad as many I have seen, means you are 20" off at 1,000 yds. Not at all acceptable to me.
The clown that runs SH tried to tell me the other day that it isn't important that your reticle be aligned perfectly with your bore. Right, if you don't mind being a foot or more off to the left or right when you crank up and shoot at long distance! They call themselves "precision" shooters but what they really are is "shoot, see where you hit and correct" shooters. Then the idiot told me having a level on your rifle is unnecessary.
The convenience store must miss him badly.