warm/cold air intake, something thant made me think a bit. Options

[4-eyed-freek]

hey everyone! im a current student at UTI in chicago and last week my brakes teacher was lecturing on how stupid cold air intakes we and he kept calling them a warm air intakes, and he is right in a way..... BUT this week i started my basic engines class and my new teacher couldnt stress the inportance of a cai on a car because...(THIS IS WHAT HE SAID) if you think about it, your engine is running at somewhere around 212 in most cars. so the 100+ degree temp in your enigine bay that your cold air intake is taking in is actually colder than your internal engine thus meaning that the really warm air in you engine bay is actually cold air for your car.. so who is right?!?!?! i thought about this to myself and talked it over with other kids in the class and i got so many diff. answers. lets here what you guys think.