The FOAM is for noise reduction only! Unfortunately, that also means it will trap heat under it. My Camaro had all that on it, and I took it all off. With the foam out, air can get under there, and cool off the inake manifolds, fuel rail, and injectors. Fuel injector coil resistance rises with heat, and effects the performance of the injectors. Taking the foam off, just meant I could hear the injectors, and the high pressure fuel pump at idle, with the radio off.
Leave it out, you're better off, and it will reduce intake air charge temperatures while in motion. Air will be able to get under the lower & upper intake, and over the oil cooler and cool it all down a step. That is good for the intake, and the injectors. The only down side is, you may hear the injectors clicking.