Seems like it would work, but might be a mean ride, with air you have the whole air space inside the tire acting as a shock absorber, so bump stress is spread out all around the tire, on this you'd have a few small 'links' taking all the stress from an uneven patch, seems to mean you'd have to have a stronger rim to handle the localized stress/point loading. Might be fine onroad, but I wouldn't like the extra weight off road or with any serious handling needs.
A very stiff tread section may spread load to all of the supports, but be heavier yet.
Ken