One approach to this is lightweight construction: the thinner the ceilings of a multi-storey building, for example, the more space is left for extra floors.
Given the way these are suspended and that you can fill the empty space with noise dampening material, they might be significantly better than normal concrete floors regarding noise transmission.
Concrete is something like a tenth of humanity's total CO2 emissions, so if this is something that lets us use less concrete then that's actually great
but have they tested it against various types of wear and tear, environmental exposure, being hit by an american truck or other large damage, water damage from a toilet overflowing and going unnoticed for a couple months, other stuff...
Obviously not yet, but given that similarly build churches have survived hundreds of years and multiple heavy earthquakes, I would say chances are high that it will be quite durable.
For water damage it would be probably more durable that regular concrete construction, as this mainly damages the rebar reinforcement, which can not be easily inspected for damage.