As in the other thread, I'm very well versed in the current versus capacity issues of alkalines and other chemistries, it doesn't change the fact that a multiple-cell device (or maybe even a single-cell) at a LOW current draw, may not like NiMH instead of alkalines, due to the low nominal voltage that it "sees". Again, the essay you made is EXCELLENT and I'm not disagreeing at all with your observations, in fact they are exactly the ones I would make, but they are going the wrong way to where an issue can occur, which is that under LOW current conditions (100mA or less for instance), alkalines stay above 1.25V for a long time compared to NiMH which nominally operate around 1.2-1.25 for a long time. If a device is looking for any multiple above 1.2V at low currents, it may think (incorrectly) that a 1.25V NiMH is "nearly dead"... if it thinks at all, if it simply requires a multiple of voltage at 1.25V or higher to function properly, it will just not work on NiMH or may be erratic.
I'm in 100% agreement with all your observations and have made them myself many times in the past, that doesn't mean however that there aren't rare exceptions out there.
Especially with ICs, quite a few devices are designed to operate specifically on a range of 2.5-3.5V (3.3V nominal)... such a device might work fine on 2 1.5V alkalines until they drop to 1.25V (as in the other thread, potentially wasteful, but functional)... however these same devices would be pretty erratic after the early discharge portion of the NiMH curve, they would be operating at the margin of the 1.25V (typical) nominal portion. If the batteries aren't at 1.25V in their nominal portion the device won't function properly or at all for very long.
Still, it would be a rare device that has this issue, good design would plan for lower voltages (to increase alkaline run-times if nothing else), however there are many more bad engineers than their are good ones out there (true in any profession IMO, most people just go through the motions to get a paycheck), so bad designs ARE going to happen including non-regulated DC power supply digital devices needing 2.5V-3.5V input to operated.
So you are right, but you haven't covered all the possibilities, with your essay, the biggest assumption remains (and you say it in there not saying you haven't acknowledged it) "well designed devices"... I pretty much assume railroad signals won't work and look both ways as I approach a train track, because one day someone is going to make a mistake on a well-designed signal system and it won't know a train is coming... it has happened before and will again, so I don't assume the last guy who worked on it got it right.
A final thought, is that some devices may incorporate a conservative low-voltage cutoff deliberately, to avoid over-discharging alkalines and the resultant leakage that often occurs as a result. Anything over 1.0V is clearly TOO conservative for that concern, but who knows... it could even be a marketing ploy... "3 hours on alkaline, or 15 hours on our special lithium "long-life" batteries".... even though they could run the alkalines for 10 hours down to 0.9V, it'd be a way to "upsell" an expensive lithium pack upgrade. Or even a rechargeable pack (instead of 4AA alkalines, uses 5 smaller NiMH cells in a sealed pack to up the nominal voltage, even though the "capacity" is lower in that case, the runtime is longer since the NiMH don't slope through the "cutoff" voltage until they are nearly dead unlike the alkalines. Conspiracy theory, I know, but you never know...