I’m replying here to keep the threads in sync. Please avoid cross posting issues as it makes things difficult to follow.
As for your issue with an alt/az mount. I can’t seem to duplicate things. Using the telescope simulator and Dome simulator the azimuths are always very much in sync as you would expect them to be in that case. Maybe you can take a shot of your dome slaving parameters and we can go from there:
Thanks,
Jared