I didn't have time to read through the whole thread so forgive me if this has already been posted. I dropped 20 lbs out of the nose of my Corvette by switching to an Odyssey PC680 motorcycle battery. Lots of cranking power for that big V8, right down to below freezing temps. In a 4 cyl car it might be a viable option even in winter.
Not much reserve capacity, though, so no sitting with the key on and the radio playing. Still, a much more "risk free" weight reduction than a batch of capacitors.
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2016 BMW 535d
4100lb XDrive Eco-Yacht
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