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He's right. Another thing about bass trapping aside from mass and air space is coverage. Even with the same thickness and if you were somehow able to keep the same air gap, you're still leaving more wall exposed.
As Ethan has said many times, bass trapping is all about coverage. You can't build one UltraMegaSuperBassTrap2000 and have it in one corner of your room. You've got to have the coverage. Once your fiberglass or mineral wool is three to four inches thick, it's not about making it thicker, it's about making it cover more room corner.
I'm not saying it won't work if you make it smaller. It will, but just not nearly as well or to nearly as low a frequency range. And unfortunately, covering the walls just isn't the same for bass trapping. Another thing to consider is that rigid fiberglass doesn't just absorb bass, it absorbs most frequencies. So the more you treat your corners, the better the overall room sound. And the less you'll have to do to the walls.
Move some furniture, clean house a bit, make the room somehow. It's worth it!
