I've never worked with Cat6A cable, but the individual shielding, foils, etc make sense if you want to achieve the bandwidth, apart from the standard requiring them. Even then, unless the whole channel is tightly within spec you won't achieve 10gig for an entire segment.
The only current 10 gig application actually in production as far as I know, is remote storage, specifically in a SAN (storage area network) implementation. The fastest hard drive controllers in your off-the-shelf server or pc currently top out at around 6 gig/sec transfer speed. A proper 10gig installation, after accounting for the protocol overheads, would be able to come close, but instead of forcing the location of hard drives inside or near the computer, you can have the (centralized) storage up to 300+ feet away without repeaters. In other words it can be located inside the "glass house" i.e. the data center, guarded by the computer gods.
Another contractor in a job I'm currently involved in is doing just that, installing a SAN with literally hundreds of hard disks tied together and connected through 10 gig switches to a server farm. I constantly pop in to watch, it's fascinating stuff (well to me anyway).
Hospitals obviously are good candidates. They move massive amounts of imaging data. Other than that, HDTV to the desktop and Virtual Reality have been mentioned as applications, but apart from remote storage, this is still a technology in search of an application.