Again, you will not run rich... When a turbo is not spooling and making positive pressure in the intake, the motor is N/A even though the turbo is on it. Again, the AFM reads the amount of flow and based on the AFM signal (along with other perameters and signals), the computer determines the fuel from a look up table. The only way that you can get a rich or lean condition if all correct components are there and working correctly is by not having the correct injectors that the system is tuned for. Smaller injectors will cause lean condition and larger will cause rich.
Now if it was a MAP (speed/density) based system, then yes you could run into problems and the problem would actually be a lean condition not rich. Thats the nice part of a MAS type system is that if changes are made that cause a change in air flow then to a point, the system will still provide the correct AFR.
The only basic operating differance between the GE and the GTE engine managment systems is that the GTE system is designed to handle higher airflow rates then the GE system for when the turbo comes online and provides the motor with more airflow.