i wouldn't think the battery/connecting to be related, just coincidence, but you can try it again and see what happens.
both positions of the switch don't work?
the heated seats, while a nice novelty item and i have them in my daily drivers, are lame and prone to wearing out/quit working. i'd be more surprised if you posted a thread like this "My heated seats warm up quick, work 100%, and have been for 7 years!"
Yeah, it probably was coincidence. And yes, both positions of the switch for the driver's side do not work.
But the fact that for a few minutes the heated seat did work and the light on the switch did turn on (both directions), tells me that it is still capable of working but something is hindering it. I just don't know what the something is. It's not the fuse since the passenger side works.