When you switch to any sort of tire that doesn’t have pressurized air in it, the dampening can only occur by deforming the tire in contact with the ground, and it’s not going to be anywhere near as good.
I mean, these new tires do deform with the ground. That’s the “revolutionary tech” they brag about; the rings are designed to compress a bit and deform to compensate for impact, but always bounce back to their original shape no matter how much force is exerted on them. So you get a simulated air pressure.