If you park the mount and power down, then power up and unpark the mount
Gemini will know where it is. At least it will be close. A model isn't as
necessary as it once was with the advent of plate solving. Even if you're
initial slew is off a little, plate solve and sync will get it dead on.
I'm not technically working remotely (home observatory) but except for
physically turning the power switch on I could do everything remotely. I
used a G11 Gemini-2 for several years before recently moving to a
Mach1GTO. But the basic functions are all the same. I park the mount at
the end of a sequence and turn the power off. Next night I simply turn the
power back on, connect to the mount, slew to a star, and solve and sync
from SGP. I could do all that from inside my home or from 1000 miles away.