Right. This doesn't sound like a binding / brake / alignment issue to me. It sounds EXACTLY like what used to happen to ALL of us several times a winter back in the days before p-tex. Honestly, how many of you who have responded to this thread ever skied on a ski with a wooden or lacquered base? If you haven't, then that explains why you find this so surprising. If you HAVE, then you already know that this was probably one of those weird snow-bonds-to-base events that are infuriating as heck but do happen (albeit usually to both skis, and usually not with p-tex). Something probably happened to one ski, such as being exposed to heat or cold in a different way from its mate, or sitting in water briefly, or SOMETHING that that made the base very very sticky for the particular kind of snow that day. My guess, anyway. More pine tar next time.
I still have the propane torch I used to use to burn in the pine tar. OP can borrow it if she likes. I've had a lot of skis get sticky in a career of skiing Sierra Cement, usually after a fresh waxing with universal wax--the only kind I'm not too cheap to buy--but once you get going the stuck snow clears. The gentleman took the skis off and inspected them--I assume that included the bottoms. I'm still going with packed snow somehow keeping the brake from retracting--it would look fine with the skis off and in powder it would be hard to notice with the skis on. Sounds like we'll have to wait until next season to find out if everything turns out ok.