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.... The scope effectively changes the plane of the point of aim since it is now higher at the rear, but I guess you already know that. ....

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Oops, this was misleading. The different point of aim axis of the scope won't affect regulation. After all, all it is doing is providing a point of aim. For fixed settings, and compare with fixed open sight settings, it will affect the point of impact at other ranges, if you know what I mean.

I'm endeavouring to make sure the caffeine has taken effect before I type any other responses in the mornings