I'm not sure if this guy is wrong, or I just missed the point he's making.
If the scope isn't centered horizontally above the bore, when the bullet is fired it will have to travel horizontally in order to hit whatever the zero point is, and beyond the zero point will continue to travel horizontally away from the line of aim.
An analogy is 2 lazer beams, one fixed and one tiltable, acting as our bore and scope. If there is a distance beween each lazer (same scenario as distance between scope and bore) one of the beams will have to be tilted so that the beams cross at a point, say 100m, and this is our point of aim. Beyond the 100m, the beam that is tilted carries on it's tilted path away from the fixed beam. If the lazers are in line horizontally (i.e directly one above the other), we only have vertical deviation to worry about downrange, and this is what the sight height in our calculations (ballistic apps etc) accounts for. However if the lazers aren't horizontally alligned (i.e they're sort of beside each other rather than directly on top, we would need to take that in to consideration with our calculations too as a sight-off-to-the-left-or-right measurement.
Maybe he did say something about correcting for the horizontal difference between bore and scope and I just missed it?
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