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All types of induction have potential for more power in cooler weather at the same altitude, whether it be turbo, supercharged or naturally aspirated. The more oxygen available, the more potential power, assuming no fuel or material strength limitations.
BMW's normal software targets lower boost levels to compensate for the extra air density of cooler weather. That could be the cause of your perceived power loss.
Do some logs now, and see what your boost pressure is. It should become higher as it warms up.
Also, you will only get full boost if your Oil Temp is over 160F or 71C. If you go WOT before that, your car will feel much slower.
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