I am not sure how other manufacturers handle their mount model, but iOptron changed their handling of the model during their most recent firmware update for the CEM60. They placed the following note in their firmware update history file.
Alignment model will roam between the hand controller, RS-232 port connection and Wi-Fi connection now. If you want to use any pointing enhancement software, such as T-Point, make sure there is no alignment model in the system!
Prior to this update, I did not have any problems with SGP Centering with a one or two star model in the hand-controller. After the update, I had to delete the any alignment model in order to get the mount to respond to SGP centering moves.
Fred