Feels like a grounding issue, probably a cable breaking down somewhere, or battery connections.
I'm gonna science and say there's some lead that's barely making a connection, but given extra load the pixies have more energy to leap across the Chasm of Despair (a break in the cable) therefore you get slightly better performance.
It's something simple, but it's hiding. Also don't scrap, there's always some sucker on here (me) that buys junk and calls it a 'laff'
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