Not saying your wrong, just not what I'd learned. Now if you were canting the rifle it would seem to me that it would not string horizontally but would move the point of impact. It the point of impact is 12 o'clock and 1" high and you canted the rifle 90 degrees wouldn't the POI them be at 9 o'clock or 3 o'clock depending on which way you canted the rifle?
As for vertical stringing, stringing happens because the barrel is bouncing off of something. How does it bounch off the bottom of the barrel channel?
There could aslo be the problem of two grouping, two distinct group's with the same load. My understanding is that it is caused bu a beddinf problem also. Usually the action not being held securely in the same place each shot. Actually moving with the shot. Possibly a poorly bedded recoil lug. What do you think?