Two years old but a good thread.
"If the reticle seems to move, there is parallax". So by turning the side wheel on a long depth of field scope it would become parallax free at whatever you are looking at.
Now on shallow depth of field scopes, either side of the parallax setting will be a blur. For instance at 50 yards it will be a blur when looking at something at 53 yards, or 300 and 325 yards! Now setting the pa for infinity whilst looking at close stuff, the ret dont appear to move infering that it focuses on the target as it is already parallax free. Checked clamped in a miller at varying ranges.
I have used an M1 Mark 4 for 5 years, and just about every scope out there and work from low to high as do 100's of people i know and have seen- get the range 2% out and its a miss. Always work from one direction, back it off a bit and try again until satisfied even if its got severe backlash.
I on the other hand have seen and had the misfortune to own/use parallax uncorrectable scopes even though the pa wheel is in focus on the target within a yard- Even at at 50 yards there was 3/4"+ off centre ret movement in all directions dependant where head was, yet alone at a 1000 yards. Had 5 replacement scopes and two repairs nine years ago, all the same. Just intrigued was it incorrectly adjusted/set internally?