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Yes,
Cold dry air is more dense so more O2 per compression = more HP. Somewhere on the internet there is a temp relative hp curve. It is not a huge difference but you can surely feel it. An airplane needs a longer runway for takeoff on a hot day for the opposite reason. Less HP and less dense air to provide lift to the wing.
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2009 Cayman 2.9L PDK (with a few tweaks)
PCA-GPX Chief Driving Instructor-Ret.
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