First, what is the "cooperate-graduate" method? I am not familiar with this terminology.
Cooperate with the examiner (right or wrong) and you can pass the exam.
Second, where does the 250' tolerance on acceleration altitude come from?
Company standards. Or so I'm told. I tried to find them, but the majority of the documents are not in English - if you can find them.
I was reading the FCTM, and Boeing doesn't seem to make too much a of distinction between an engine fire+failure and a plain engine fire.
Neither do I believe you should just agree with the checkie for the sake of an easy life.
I don't either. But I'm just the hired help, and so is the checkie, it seems. The decree for this type of training comes from on high, through several poorly translated documents, I imagine.
