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Let me clarify my point so as not to appear confrontational. In a wall or ceiling application, the light contact of insulation would technically damp. Technically.
Then comes the practical. Can you measure the damping, and / or can you hear any improvement?
Technically some amount of damping must occur. Practically, no damping occurs.
Looking at the NRC research, IR 761, they studied the placement of insulation in a cavity. Contacting surface #1, placed in the centre of cavity (no contact of surfaces), and contacting surface #2. No difference in performance. There's no practical benefit to having the insulation contact one or both surfaces.
It's really dificult to successfully (practically) damp the leaves of a wall or ceiling.
Having insulation in the cavity will damp cavity resonance. Won't actually damp the panel.
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