4K@60Hz uses about 11Gbps. Thunderbolt 2 has 20Gbps each way. That means you could hang all but the very fastest (SSD arrays, mostly) drive box off the monitor and not be capped. Note that the read speed from the box would have an uninterrupted 20Gpbs back to the computer (the monitor basically only using the channel away from the computer).
Thunderbolt 1 provided two channels of 10Gbps, and therefore just barely failed to fit in a 4K stream.