Okay, now let me see if I understand your terminology. By "voltage sag" you mean that the voltage coming from the pack "suddenly dropped".
Yes. Voltage from any source normally sags an amount proportionate to the resistance the voltage encounters, and the current being drawn from the source. In my case, as communicated by the voltmeter and ammeter on my handlebars, my whole pack's normal drop of ~6v at 35 amps suddenly became ~16v at 35amps.
One would presume that a "bad cell" is basically stealing all the energy out of the pack in big hurry and turning that cell into a lightbulb!
It certainly got my attention, but I should have stopped the bike right then and there instead of using electricity to get home. One can presume in such a circumstance that somehow and somewhere resistance is abruptly climbing.
If you have a "parallel cells" situation and the voltage is slowly declining as expected for normal use and just one cell is "defective" or "weaker" such that it can't handle the voltage that all the others can, then at some point the "bad cell" will become a vortex into "battery pack hell" and a meltdown begins.
Yes. But other factors may be the cause instead. For instance, perhaps the PTCs on my ruptured cells did not open as they were supposed to, whereas they did on other cells that did not rupture. As cells in a parallel pack are taken offline, resistance is going to increase because resistors in parallel decrease total resistance, and every battery has a resistance, and so is a resistor. See "Resistors In Parallel Calculator" :
http://www.1728.com/resistrs.htm
You can avoid this if you don't allow the packs to get used very hard, (you stay clear of any lower limits)
That's what I've been doing.
but that just means more money for a bigger pack and more weight to get the same job done. (however it does tend to make the packs last longer, so it's probably a good idea)
Exactly! 33ah is more than I generally need anyway...I've taken to operating the batteries between 3.8 and 4.0 volts when possible (50% - 80% DoD), recharging partially so as to extend pack life by limiting time cells are at high voltage, and on the other end limiting the overall depth of discharge. And if I get lost while exploring, I have 50% left to find my way home

And if I'm going out for a long ride of 25 miles or more, I charge up all the way so I still have ~50-60 miles total range (in case I get lost, or decide to explore more on the way).
Going further on this.... I wonder what is happening BEFORE the runaway condition gets started?
In my case, as mentioned, I think the PTC's were opening on some batteries in response to the heat from overdischarge, pulling them offline, creating a cascade effect while resting voltage was around 3.6-3.7 volts and the cells were under 1.3C load.
Are there "signals" that could be exploited so that you know to take the "bad cell" offline or at least balance it so that it doesn't "freak out" on the rest of the pack.
The more expensive 18650's with the full PCB may protect much faster, and more reliably. PTCs are well known to display wide response variance.