I have a bit different take than artsci. I have seen some objective audio measurements of the foam-equipped tires vs non-foam-equipped, and on the sound meter, there is a measurable difference in noise. (See
here.) However, that has some caveats:
1. The difference in absolute noise is pretty small. A few dB at most.
2. The frequency range where the noise is reduced are the mid frequencies (echo within the tire, sharper road imperfections). Lower frequencies (concrete rumble, larger bumps) are not really affected.
3. While noticable on the meter, whether it's noticable to your ears is very debatable. Many of the human testers say they could not tell the difference with their ears.
Some additional things to know about acoustic-foam-equipped tires:
1. They are more expensive than the non-foam counterpart. Given the small benefit to noise reduction, the value of that cost increase is debatable.
2. Emergency flat repair products that can seal a tire from the inside do not work on foam-equipped tires since the sealant cannot reach the puncture underneath the foam.
3. Many tire shops will not attempt to repair a foam-equipped tire with a standard inside-the-tire patch, as they do not want to accept liability for removing a portion of the foam. They will make you buy a new tire.
4. If noise reduction is the goal, start by using a different size and construction tire. As an example, moving from a Max Performance Summer tire in 235/35R20 (such as the Michelin Pilot Sport 4S) to a Grand Touring tire in 235/45R18 (such as the Michelin Primacy MXM4) will inherently reduce noise. The amount of noise reduction by this change will likely exceed what foam can deliver.
5. To
maintain quiet tires, they need to be rotated throughout their life (whether foam-equipped or not). Some modern advise suggests that rotation is no longer necessary, but if you don't, all tires will get noisy on the back half of their life.