You know, I've wondered about this as well. Maybe you can answer a couple questions I have.
1. When I go out to the car in the morning and open the door I hear a click-click. Is that the battery contact engaging? People have reported failed main packs before presumably because the contactor got "stuck." This happens while parked.
2. If the answer to 1 is yes, then I don't see why heavy acceleration has any effect on the contactor itself. So when the car is driving the contactor is presumably already engaged. It seems that it would be a fuse rather than a contactor that would blow out under high current load.
I'm probably not the best person to answer this - I have no personal experience with the Model S, and everything I know about it comes from reading this forum.
The contactors certainly are closed before you start driving - they have to be. A high voltage contactor is something like a relay - it is spring loaded and usually sits open, isolating the high voltage battery from the world for safety. When the computers say it's okay, 12V current is directed to the contactor, which pulls it closed and allows high voltage power to flow.
Normally you'd think one it was closed it would stay closed for the drive.
However, the 'balloon squeal' noise under hard acceleration that some (but apparently not all) Model S cars exhibit has been described a few times as being from the high voltage contactor (which it could only produce by some sort of partial cycling,) and there are a couple threads that have the clunk power failure being followed by a battery replacement where they were told it was the contactors that failed.
The fact that all of these failure stories have the car shutting down within ten or fifteen minutes after losing the high voltage battery (and then being unrecoverable until jumped) led to the battery/DC-DC converter speculation above. No other car I know runs out of 12V power that fast unless the battery is already run down, and a drained 12V battery combined with more load than the 'alternator' (DC-DC converter) can handle will shut down the car. (I've read that Model S 12V batteries are smaller than most, but never seen an actual capacity rating for them.)
Walter