Maybe the yaw tries to move too fast and looses sync. Try using acceleration limiter.

yes

I do believe I've discovered a solution, though it's a bit unconventional.

While doing more research into this, I discovered that the latest version of the firmware added a functionality where the gimbal will reset its position, on all three axes, with the Motor On command. The question then became whether this reset would simply do the same thing as the Home Position command and ignore the copter orientation, or if it would somehow recurrent copter orientation into account. After creating a switch and testing it out on my bench, it seemed that it does in fact look at the copter yaw position. In fact, it resets all three axes to theit init position, relative to the copter, which is exactly what I want! I tested this new switch in the air a few hours ago, and threw many flying situations at it, and it is working perfectly. Finally!

I have the switch mapped to my Taranis' SH, spring loaded, dual position switch, so that the down position turns off the motors (Motors Off), and the up position turns the motors back on (Motors On). Since its spring loaded I really just need to flip it, and voila, the gimbal resets to the forward position of the copter, no matter where the copter is pointed. In fact, I tried yawing the gimbal 270°, flipped the switch, and the gimbal took the short route back to zero.

I know this is not the most elegant of solutions, and feels more like a hack than anything, but it is working where nothing else I tried would.

My only question now is whether this tactic of switching the motors on and off could be bad for the motors themselves over time.

I can answer my own question after kind help from mr cheesycam. I needed to make adjustments in the follow page in the offset parameter. Worked perfectly