Actually, on testing, this is actually the problem, not the solution. The furthest turn angle for the monocycle is not that great - and it is the same angle that mount uses for strafing sideways (in other words, hard turn and strafe is the same animation). The jetpacks are following the same rules.
The solution would be to keep the current extreme for strafing, but reduce it to about half what it currently is when only turning.