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As soon as I got my heated jacket liner, I stopped using my heated grips completely. I picked up a set of Olympia cold weather gloves, it's more than enough when my arms are sitting in what feels like a hot tub.
You'll need to power the heated gloves. Easiest way to do that is with a heated jacket liner that has the outlets at the end of the sleeves.
People make recommendations because they have been there before, not because they want to make you overly sensitive and defensive.