I did two back-to-back runs without any cooldown.
One with the lid on and one with the lid off, just to see if there would be any difference since the intake would be pulling hot air directly without the cover. I didn’t notice any difference at all. On the first run, I did 11.50, and surprisingly, on the second run without the lid, I ran 11.48.
K&N, S&B, and aFe Power all follow the same basic concept. The only difference is that the S&B seems to be the best of the three, probably because of its larger piping diameter, but who really knows.