It was the bulb, low-beam filament burnt out. I took the wiring plug off the back, plugged in a known working bulb to the dangling socket, and turned the switch on and through both hi-beam and low-beam circuits.
I did get the bulb changed, by removing two (of four) bolts holding the fairing to the ends of the ;egs of the support bracket. That allowed the fairing and the headlight housing to "flex" forward about 1/8", enough to work the rubber boot around both sides of the bottom of the headlight.
I do not want this process to be that difficult... hopefully its supposed to not be this difficult, and this winter I take the whole thing apart and un-bend things to provide clearance.
It could be that this headlight enclosure was actually designed this way. There are aspects of design on this K75 that make me scratch my head; the battery hold-down bolts are phillips-head, but theres not space on top to put a phillips driver, much less a whack-it-with-a-hammer impact driver; much better to have hex or allen-head bolts there.