4K at 60Hz support is unlikely. The issue isn't the GPU, but the USB-C connector. USB-C has a total of four lanes, which are shared by USB 3.0 and DisplayPort. With DisplayPort 1.2, all four lanes would have to be dedicated to DP in order to run a 4K display at 60Hz. That would drop the USB speed down to 2.0, and it seems that Apple decided not to allow this (or the adapter don't support this). DisplayPort 1.3 will increase the bandwidth per lane and allow 4K at 60Hz with just two lanes, but there is no word on whether Kaby Lake will support 1.2 or 1.3. I'm inclined to believe it will still be 1.2, though.
I'll add this to the OP in a bit with a bit more detail.