This is very interesting as I have been trying to figure out a resonance vibration on my KA for years. Contrary to your experiences, the vibration in my car is felt anytime the engine is revving around 2200 rpms (free-rev clutch in/out or driving in any gear) which means the source is the engine itself. Replacing the harder Nismo engine mounts with softer, liquid-filled motor mounts perhaps off an older BMW 5 series is what I'm going to try.
Positive rep for the very methodical and technical approach to testing and updating this thread with findings!
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