i would imagine that the bec rx relates to the days before we all used an esc to control the motor , remembering the old tamiya wiper board type controller they were fitted with a small red bec type plug to fit into the rx battery socket , we would have had 7.2 volts into the rx , so maybe the rx had the circuit to drop the power down ? ? jon
Okay, time for an apology After mucho question asking and research - the BEC Rx came into being a long time ago, for exactly the reason triumphjon suggested - where it allowed the use of the main drive battery to power the Rx from a 6 or 7 cell pack when the SC didn't have it's own BEC, either because it was designed to run on a max of 5 cells or it was a non-electronic, (mechanical), SC.
So in effect they are a voltage regulator built into the Rx.
I can't find any definate info this, so I'm speculating that if the pack voltage drops below a set voltage they act like a failsafe and reduce throttle to zero, not much use if your boat's stuck in the middle of the lake, (discounting the normal feature of a BEC that will allow restarting of the motor at
low power settings only), but then these BEC Rx were designed for RC car use - and it seems just migrated over to boat use not for the BEC facility, but because they are on the same frequency band(s).
So, once again, my apology jon.
Incidentally, the reason I've never heard the term before - was it seems that they came in after my RC car times in the 90's when I'd gone back to hairyplanes.
Mark.