Make sure the starter generator wires are not touching(put some masking tape over them individually to prevent them touching) and you can switch on power as long as obviously nothing else electrically is removed and or disturbed that could cause problems. The maintenance page will be accessable where you can either check the flight report the over limit was detected and check the over limit page and see what it counted accumulatively.
11s is a very long time for a engine to be at that T4. one must almost be standing outside the aircraft during starting not looking anywhere or hearing anything and just push the lever regardless. Why is the engine removed? Is it for checks after the incident?
Just a thought. Make sure your engineer does the T4 harness and calibration check when the engine is refitted. It might be that one of the anumel/chromel probes are defective and thus registered a higher resistance causing the high indication. Also check the airframe loom from the plug to the VEMD for correct resistance.
Will be interesting to know the outcome.