Weirdly enough I have the opposite issue. Mine is the same 'sticky and bounce back up' towards the top, but only on medium-hard right turns, e.g. roundabouts. Currently investigating it but haven't got any leads so far. Gear doesn't matter. It's never dropped to the floor though.
Could you do some more testing to pinpoint when exactly it happens? E.g. try engine braking before the turn to see if using the brakes beforehand affects it, verify if it's only on left turns and changing out of fourth. Are there any other weird things like sounds sounds or behaviour?