Nick, I don't believe the TR is an issue but I am prepared to be proved wrong. The rate of roll is not as noticeable as the amount of opposite cyclic required to oppose the roll and recover to wings level. In the Lynx in a 60 degree AoB downwind quickstop to the right or a wingover using 90 degrees AoBto the right, almost full left cyclic is required. The same sort of input is required in the Sea King during similar manoeuvres. One test pilot once muttered something about manoeuvre stability boundary but I didn't fully understand his explanation which I am sure didn't differentiate between the direction of turn.
The Gazelle definitely responds in the same, although opposite way and rolls left much more readily than right and requires a lot of right cyclic to roll out from a left wingover/quickstop.
All the above relates to flying stab out so AFCS/SAS saturation is not a player.
I hope you can find an answer or tell me I am imagining it.