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I can't imagine a blind hole in the side of the rear bridge of an '03 action having much more than one thread of contact - you'd want all the contact area you could get in any case. Come to think of it, I don't think I've ever seen a blind hole for a receiver-mounted aperture sight.
I've never examined an '03 with a Lyman installed so I was not sure. My frame of reference is Rem 40X and Rem 37 smallbores. Those have blind mounting holes but the receiver walls are probably thicker than the '03.