Besides asymetric thrust, pitch up moment is probably a reason not to use full reverse on highly mounted MD80's engines on contaminated runways since this tends to lighten the nose wheel.
Actually more than 80% reverse thrust will blank the rudder and exacerbate or introduce directional control problems. Spoiler and autobrake will easily overcome that diminutive pitch-up effect.
The autobrake puts whatever braking it takes to achieve a decelaration rate as long as the wheels keep spinning otherwise anti-skid prevails. That is why it is important to prevent the wheels from locking.
Congrats on a clear exposition of this fact. Yes, that's why it is important to maximize weight on wheels on wet, greasy and slippery runways.
I agree with one of the posters that no smart theory can help you when you are in the cockpit, so maybe some test should be made and results discussed..
It's just a handling technique (proof of the pudding.... and all that
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Now we shall watch, semi-amused, and see which of the manufacturing behemoths first decide to surreptitiously slip this advice into their pilot's handling notes. "Semi-amused" only, because we realise that this little trick may have precluded scores if not hundreds of overrun accidents in the past decade - and saved quite a few reputations (and possibly a few lives / lots of bent metal).
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"Semi-amused" because there are still people around who believe that the appropriate stick position under braking is forward of neutral. And of course there are also the vast multitudes who've just never thought about it (nor thought it out at all).