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That would depend on how long the psu will wait before turning on the amp. Probably not more than a few seconds, so I doubt it will get you the result you're looking for. It wouldn't hurt, though.
Most likely the audio outputs are floating until the audio chip gets initialized by its drivers. In other words, the sound card isn't influencing the audio signal at all so it's free to pick up stray interference and send it to the speakers until windows takes over.
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