I'm totally stoked about people regularly plugging phones into their PCIe (Thunderbolt) port. Hottest talk at BlackHat USA 2013 will be an iPhone 5 -> MacBook exploit using DMA.
They just call it Lightning. AFAIK, it still plugs into USB.
That doesn't seem clear from the coverage so far. Obviously it has to be USB in the box, but the name hints that there would be a Thunderbolt option at least.
I'd be surprised. There's nothing you would need 10 Gbps for on a phone. The flash memory wouldn't even keep up. Plus with cables costing $50, it'd be an expensive option to have a second kind of cable. It's probably just marketing lingo to make it seem like it's related to TB.
Driving a display would be one of those times, though. I would love having a phone as the basic computing device, with a desktop and tablet shell.