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Mine was tight on at least the three uppers I had it on. The original instructions say it will be tight and to use a rubber/plastic hammer to get it to seat the first time if needed.
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This has been my experience with 4 separate carry handle mounts between 2 different uppers.
The mount should be tight in the channel. If not how could you expect to retain zero, even if you get the nut to tighten up, any kind of bump to the optic will move the entire set up because the screw is smaller diameter than the hole its going through.
For reference: late 60s Colt A1 with a NOS GG&G mount, and 2 different Aimpoint gooseneck mounts.
The second is a NOS LMT A2 with a second GG&G mount, and tested the same 2 Aimpoint mounts.
OP, You've pointed out that your upper is from that bad batch, I've seen this a hand full of times from that batch. I believe that the channel its self is actually oversized, not just offset to one side.
I hope you get this resolved!