I don't think I'll be able to help you, as my PB behaves as described by jackie, sorry.
If I was you I'd do some tests to try to isolate the problem, for example, what happens if you plug it in while it's off? Have you tried to plug it in both locked and unlocked? Does it happen only after a certain period of time? Finally, have you tried to set it up so you get asked when you plug the device if you want to charge or connect to PC?
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