My experience is that EVERYTHING in reloading except for your own data is a rule of thumb. Primers vary primer to primer, as does powder, as do rifle throats. The jump on 6.5 PRS rifle at the end of the match is measurably longer than it was the day before. My best personal example is working up loads for a .50 BMG: I confirmed that the mil surplus 639 gr Silvertips were far from the rifling, resized them all anyway (a burst from a Ma Deuce doesn't need MOA precision and it appears that Lake City is well aware of that fact) started 10% below listed load, and got a sticky (as in it took effort to get the gun open) bolt 15 grains below the posted max. There are only two Hodgdon 50 powders and only one commercial primer, and everything is standardized on military brass.....so what gives? I don't know, and it isn't important that I find out.
What is important is taking data as guardrails that will generally keep you safe (though as in the example above, blindly starting at the published load would've pierced the primer in my AR50 and could've been a very bad day in a semi auto), not as a baking recipe. To that end, the answer to the question on LRM vs LR primers is the same answer as to all reloading questions: don't take anyone's word on it, carefully accumulate data in your own firearms with the exact components that you plan to use. LR and LRM primers are completely interchangeable, BUT that is true if and only if you follow the universal rule, which is to develop loads for them as though they are completely different. This is the exact same procedure as is necessary for two different LR or two different LRM primers, different lots, et c.
Of all of the things that I have learned over many years of reloading, the single most important is only trust yourself. There is plenty of great knowledge and you're wise to accumulate it, but it is still your job to filter and test it because some of it will be 1) inaccurate or 2) specific to circumstances that differ in tiny, potentially undiscoverable but still very meaningful ways from your own.
I hope that's helpful.