I don't believe so, Peter, as I had a powerpoint/ cig lighter socket wired up to that oem grips connector, and it would work with the ignition on only.
10 years is a decent life-span for heated grips - both the controllers and internals of the grips themselves are notorious for failing (all makes of HG's). As the oem Suzy ones are wired in series, then both tend to fail at once. Hopefully it's just a connector though, good luck