Do you have a trike with a rigid frame, in other words, one that is not suspended? Are you getting tired of all those nasty road irregularities knocking you around and loosening the fillings in your teeth? Had enough torture for this lifetime? Want a posh and smile-producing experience? Well then, Loopwheels may offer a solution, according to their website. Essentially, with these wheels on a rigid trike, the trike is no longer rigid, that is to say, once installed in place of traditional spoked wheels, you now have full suspension in all three corners of your triangulated realm! Cool.
Good Shocks and struts keep applied downward pressure to keep the tire in firm constant contact with the road at all times. They can: contribute to a smoother driving experience, help decrease drive and squat during hard braking situations, and reduce the force of forward gravity when braking under a panicked situation (helps avoid accidents!).

ONDA terms itself a recumbent stunt bike/trike that can also be used to commute to work. Commute to work? What am I, the imp from Game of Thrones? Cee Lo Green? I'm not willingly placing a 3-foot-high version of myself...
It's unclear at this point whether you'd lose any forward motion energy due to torque flex, but that can be tuned out of the system if required in any case. It's also unclear how much a pair of wheelchair-sized ASWs would cost at this point. We assume they're not cheap compared to a regular rim and tire setup. Here's some annoyingly infomercial-style video comparing regular wheelchair wheels to an ASW setup over curbs and grassy, uneven terrain.