Excuse me, but your statement is a little vague. What part are you disagreeing with? If it's about what the Blue and Green warranties cover, the bottom line is what is actually written in the warranty from Mazda NA, not how dealer techs view a part.
The CAI was installed before the OP took delivery from the dealer. Assuming he was the first owner of the car, this means it is covered by the Blue warranty. During the general warranty period the Blue warranty obligates Mazda to replace the part if it fails and to repair any damage it causes to the rest of the car.
If it had been installed after he took delivery, it would be covered by the Green warranty. On its face, the Green warranty obligates Mazda only to offer a replacement for the part if it fails within one year. Anything beyond that is done only voluntarily at Mazda NA's option for reasons other than its obligation under the warranty.