I'm a safety engineer so let me break down what could happen.
First: the foam will melt because of the extremely high heat of the blower.
Second: foam will start coming out of the ends which could cause the rotors to seize.
Third: once the foam melts it will cause the balance of the rotors to be thrown off.
Forth: rotors touch case and other rotors because of imbalance, imbalance causes extreme vibration causing bearings to fail. The failing of bearings causes the rotors to bounce around the blower causing catastrophic failure.
Catastrophic failure includes not only destroying the blower and inter cooler but possibly the motor itself lets face if these rotors are spinning in up wards of 15K RPM.
Excellent analysis.