In defense of Schon.
They would never drill off center, they are much better than that.
They could have switched suppliers on their Pins, it happened to me three years ago when my normal supplier was out of Pins.
I purchased 20 new pins, installed the first one, tightened the shaft and it lined up great so I sent the cue out. I was informed that the shaft was off center. He sent it back and he was right, it was off center but I know when I drill and bore a hole, it's less than one thousands of an inch off.
I made a video of different Pins a few years ago, same configuration, different manufactures.
Although they all look the same, the 3/8" Flat Faced self centering pins are not all the same (I don't know what Pin was used on the cue the OP wrote about, this is about Pins in general.)
A well manufactured Pin will have less than .001" runout.
The Pins I got on that one order were all .004" off and that is what shows on the shaft once tightened a few times, it most likely will not show the first time you tighten it.
I still have the Pins as a reminder but all 20 are trash and I never told the guy who made them, I simply moved on and watch as others buy his pins.
HINT, buy American made Pins and then check them for runout.