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Hunting Rifle: 7mm Rem Mag or 7mm SAUM?

This is a shitty chamber (or reamer specs) issue, not a die or belt issue. If someone is using an ill-spec’d reamer or a shitty factory chamber that has much higher potential for being oversized or crooked, then you can encounter this issue. But it’s not an inherent belt issue.
Maybe seekins cut a shitty chamber then. Regardless, the brass wouldn’t have failed to chamber if it weren’t a belted cartridge.