Well then it wouldn't be at steady state because the EGT would be going over limits
The report from Airbus says "The engine N°1 continued to deliver a
minimum thrust (N1 around 35%) for about 2 minutes and 20 seconds after T0"
Again, you're trying to imply things that have not been stated. There is no evidence here that the engine control systems were definitely operating correctly or that the feedback loops were closed.