Those aren't sorbothane. Licensing would make it cost a lot more, and you don't need vibration attenuation under a carpet so no point paying to license if it doesn't add any value.
The advantage of double sided foam tape in holding down caps is that it conforms to the shape of the cap to get more glued area. There is very little vibration damping effect from double sided foam tape because it is not designed to damp vibration, and even if it were, the cap leads provide a pathway for vibration that circumvents any damping from the tape.
Sorbothane must be pretty heavily loaded to damp vibration well. Caps are too lightweight to properly mass load sorbothane into its vibration damping zone. You would need tiny dots of lowest durometer sorbothane. And the cap leads would defeat the isolation anyway.
If you wanted vibration isolation for xo parts, put them all on a plate or box and isolate that as a whole, or put XO outside the speaker altogether.
IMO, modern xo parts are wound on machines applying constant firm tension, so there's minimal opportunity for signal distortion due to vibration.
Just my .02
