Get what together?
What you may percieve as highschool science is relavent but with no bearing on an engine.
Get an egt,actually hell i'll do one better than than, I HAVE ONE !
When my malfunctioning egr is open my EExhuast gas temps are up by 200 degrees F.
Any forced induction engine knows the egr will play havok in the system and works around it.
The returning air temp of exhuast gases from the egr are over 1000 degrees , air from the intake is about 30 after the venturi affect ,with the gas being atomized by the injectors causing further cooling. So where do you figure adding hot air which still does contain unburnt gases which is why it is being recycled to reduce nox.
Sorry bud but you are wrong and don't make assumptions like that it is quite rude to make a stupid comment on people you don't even know.