The engine bay gets really hot, and that's just stock from the factory. Adding more power and performance isn't going to make it cooler. I noticed how hot it really gets when I was adding heat reflect material under the trunk, since it gets so hot in the trunk. I thought it was mostly from the muffler below it, but when measuring with a laser thermometer I noticed the back wall of the trunk was 100 degrees. The trunk floor was 84 (what I had done had made a difference) but the back is also quite hot, and that's with a factory heat shield in front of the back.
I've been thinking about heat shielding the Eventuri ever since, and decided to go ahead and do it. I had already heat foil wrapped the intake tube from the Eventuri to the supercharger, so now everything facing the engine compartment is wrapped. With the JB4 measuring incoming air temps, and with their app I can easily see it on my iphone now, I figured it can't hurt.
I've even wrapped the JB4 unit, since where it's mounted is in the heat flow stream from the engine bay up through the vents above it. I know electronic components and heat do not go well together. The roll of heat reflect tape I had bought had a lot of extra after wrapping the tube to the supercharger, so I've been using it where I think it might make a difference.
Since you can't see the air intake housing from outside the car anyways, I'd say wrap it. It can only help, especially if you're poking along in slow stop-and-go traffic, or just sitting at idle.
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