engine surge with EGT rising

[vopz]

this is a question about a procedure to follow :
in case of engine surge on B 737 NG we will have these parameters:

a) N1 and N2 fluctuate randomly.
b) Compressor stall noises are heard.
c) EGT rises to overheat conditions (over 800 DEG C) after a time of 1 to 2 minutes

so when we do the boxed items of the” ENGINE LIMIT SURGE AND STALL “check list ,we have to enter the flaps on the flaps speed schedule even when the EGT stay in the red band.

my question is :is it normal and logic to clean the airplane with the EGT in the amber band ?it's true that stall ceases when throttle is reduced but........

I would have preferred cutting off the engine then cleaning the airplane.