But I'd rather not introduce the term 'identifier' since that would only require yet another definition.
But sorry, I'm not willing to discuss (with my target audience) which portions of error output stem from which source or which phase of compilation or execution. We're splashing around in the very shallow end of the pool.
I fully agree that you shouldn't backtrack after stating that strict outputs "Execution of (FILE) aborted due to compilation errors.". Specifically, you shouldn't say strict outputs "Execution of (FILE) aborted due to compilation errors." in the first place. Your own examples make a liar of you. Do you really want to give contradicting information to those you're trying to educate?
(The common expression is "shallow end of the gene pool", which refers to lack of intelligence, not lack of competence. Let's not call the readers dumb.)