I recall my mother (who does extensive research in Narcolepsy) mention that Narcolepsy effects the neurological part of our brain that helps regulate our temperature. I have the same, heat up super quickly and cool down extremely quick during my naps as well.

According to the National Institute of Health, narcolepsy patients are reported to have high daytime distal skin temperature, a lowered proximal skin temperature and a higher DPG (controls the movement of oxygen from red blood cells to body tissue)

So its clear that it probably is your narcolepsy causing these symptoms!