There is another advantage to the Burris rings with inserts and that is the ability to use offset inserts to center your scope before using the scope's adjustments at all.

This allows the scope to be used for the fine adjustments and in essence use the "sweet spot" in your optics, which can be a big advantage when the base screw holes are drilled poorly.

Another advantage that will likely mean nothing to you is the ability to dial in some automatic elevation with the inserts so that turreted scopes can be more effectively used at long range.
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Mark Begich, Joaquin Jackson, and Heller resistance... Three huge reasons to worry about the NRA.