Yeah, but it's not heavy so if a good way could be found to attach it, and still somehow be able to get the tire on, it would have a better chance of staying put. On the tire side the bond is asked to constantly flex, and there is a large Delta-T as the tires heat up/cool down with the drive cycles.
been there, done that, about 20 years ago and got flamed for saying so ealier in the thread
Nomex suit on this time
Made a heck of a dfference as I recall. I used neoprene band-strapped around the wheel.
Would I recommend that as a solution - no.
But it was worth a try at the time.
My reasoning at the time was that the rim picked up the vibration from the tyre and resonates and amplifies, damping that resonance would reduce its transmission into the car.
As I said it worked well for me, but changed the car shortly after and the new one was quieter anywat so never returned to the idea (must be said that when the neoprene was removed it was still as fitted and undamaged)
Reading this thread is most interesting and Artsci's approach has to be applauded.
Adhesion/flex/temperatures issues aside, if I have a concern about damping the tyre is that I would be doubtful you could get sufficient damping performance from foam vs the tyres mass/rigidity to make any difference to the mechanical noise generated, more likely you are reducing the noise within the tyre cavity more than the tyre noise itself.
These projects are great though, and sometimes amazing results can come from them.