Yes, warm intake air carries less oxygen so less fuel can be burned. Performance is generally at it greatest in winter on dry roads due to this. Not sure what the degree drop to bhp gain ratio is.
In the summer though you have more flies and bees which impact on the front of the car absorbing some of the forward momentum. I bet no one thought of that then?
Tarmac is also softer and more sticky so wheels have greater rolling resistance in the summer!