In this case, REM does not mean that you are focused on making every frequency audible. Often NAL-NL2 will drop the high frequencies. There is some information out there concerning the fact that a hearing loss above a certain level in the high frequencies may lead to sounds being distorted once they are audible and it can make speech comprehension more difficult.
The REM is important so that you have verified the output of the hearing aid and what is actually making it near/to the eardrum. That way you can calculate the maximum audible output frequency to determine the minimum amount of frequency lowering necessary. As the article talks about, it also depends on what technology that brand uses for their frequency shifting/lowering/compression.
In general, if you aren’t going to verify with PMM what the frequency lowering is doing, then it is probably better to leave it off. This is a generalization but a pretty good one.