My guess is placing a large cushion from a couch behind the microphone would be just as effective, if not more, for audio recording. That would likely be a simple way to test for any effect on the EQ of a profile, too.
This is what I did when profiling my Vox VTX. My reason for doing it was I did the profiling in my apartment and literally built a cushion Fort around the cabinet to suppress noise.
Considering I don't know a lot about how to mic an amp and the fact I couldn't experiment much other than dialing in known presets, I was surprised how good the profiles came out... And easy!