Have no idea which QRH you are following, the Boeing issued QRH for the CL says clearly
- Autothrottle (if engaged) disengage
- Thrust lever close
If the overheat light remains ON
-accomplish the Engine Fire, severe damage or separation checklist
end of checklist (indicated by the 4 black filled squares)
so far the memory / recall items
The checklist, however, continues if the light extinguishes. And this is not on memory / recall.
If the Eng Overheat light extinguishes....
- Operate the engine at reduced thrust to keep the light extinguished
end of checklist
If you follow this procedure you will, with the light still on, refer to the second checklist with BOTH engines running. A shutdown of one engine, as a result of the given situation, is demanded only in the Engine Fire, severe damage or separation checklist.
Where is the problem???? All very clear!
By the way, also the NG checklist has the very same wording... at least our ones.