I now exactly what the OP is taking about. It does seem to be somewhat variable based upon my experience running FSD (supervised) 12.3.3 on my MSLR. Sometimes is seems to do well, but othertimes it's incredibly abrupt, overshoots a bit to far to the right, then oscillates back left then finally straightens out.
I think a part of this from my observation depends upon how the exit lane is actually formed. If the exit lane is suddenly fully there with a very sharp bend right side line it acts like it wants to directly stay to the right sideline. In that case it makes the very abrupt hard right, typically with some overshoot/oscillation. That's true even if the exit lane runs for quite a long distance. If the exit lane has a gradual entry shape, then it does a much more gradual transition.
Just my experience and observations over the past 3 weeks with these newer variants.