Mould can grow on a bed if it does not have adequate aeration, leading to moisture build-up. While my chemical intolerances have diminished to the point where I could use an inflatable vinyl, I see absolutely no value in trying to achieve restorative SLEEP on such a highly questionable surface when better alternatives can make such a difference. About a year ago, I tried a one hour session on a Biomat at a local healthy living spa and immediately fell into a deep sleep. Closed-cell sleeping pads - such as the Therm-A-Rest RidgeRest Solar - seem to me quite unlikely to grow mould.
The only non-organic thing in the bed is the thread, as they have to use this particular thread for fire reasons. I would only recommend it for those who like an extremely firm sleeping surface and can support a very, very heavy mattress. Their consumer line now has some models with "silver" embedded in the fabric to aid microbial growth. The sides and overlay are quilted with 100% natural organic cotton, which adds more luxury and comfort for the sleeper.
These closed cell mattresses can also serve as a good base layer for those who are attracted to the idea of sleeping on a wool mattress or natural latex mattress, but do not currently have a bed frame to use. However, a much smaller (almost negligible) amount of gases will be emitted and inhaled by the mattress - keeping you much safer than if you slept on a normal mattress. I can't imagine that there are no negative impacts of sleeping on a petroleum-based mattress, especially with fire retardants. This includes a traditional box spring or slatted bed frame, as long as the sleeping area is flat and safe.
Keeping the rotation of a pristine sleep surface could make my nights much more comfortable. Rogers, Cotton Cloud, European Sleep Works, Flobeds, Heart of Vermont, Lifekind, Organic Grace, Pure Rest, rest Assured, Savvy Rest, Sleep Essentials, The East Coast Organic Mattress Store.