The bloke I had dealings with was Joe Marmo who I believed was instrumental behind The Eliminator Chuck... I don't know if that and the Muscle Chuck are exactly the same.
He advised that tightening up the chuck too tight bends the small boltĀ which I don't doubt would unbalance the chuck.
I have several of The Eliminators and after he fixed mine up (the first I got), I've never had issues with any of them... however, I never take to the output with callipers to a decimal mm.
If your first cut is too short... Take the second cut from the longer end... LBD