I think this will be largely environment-dependent. You'll see a lot more potholes and similar hazards in urban areas (and rural areas, I should think) than suburban areas.
Also, you'll be exchanging the flat for the misshapen. At least flats are obvious. A tire could gradually lose it's shape, not in an obvious way, and you might keep driving it for a while, doing additional damage to your care. That's why pneumatic tires replaced solid tires/wheels in the first place.
I think some of these tire ideas have promise, but I don't expect they will eliminate problems, just exchange one set for another.
Springs, on the other hand, seem like you might get the best of both worlds.