Lots of possibilities but the effect of this type of icing on one engine model vs another.
If it's mechanical damage then the exact location of the ice buildup and the delay time to shed may produce damage to some blading downstream. The ice buidlup location more often than not is on the probes inside the engine that feed the FAEC etc.
If it isn't permanent damage to the blading downstream, than the effect on the engine cycle might be as simple as a probe blockage and stall condition which is not programed into the recovery logic of the engine FADECs.
Perhaps somebody with knowlege of the fix can interpret what's unique about the specific engine design or recovery logic in these state of the art GE engines