@simonchik You've tried a very old firmware and the newest.
This thread has all the firmware versions. It stands to reason that although new firmwares keep being released for the mark 3 devices some bugs might get introduced with all the enhancements. I don't know which firmware would be best. But I would try some and look at their tap response before digging too deep.
If I were to start experimenting I would look at 2.10 and 3.0. But that's just based on my experiences with the Aura HD back then. You could post the question in the thread mentioned above.