470 will compete with cut down GP106. 460 will be extremely low end by desktop standards (sub pitcarin level), useful primarily for mobile. As polaris showed, AMD is not significantly ahead of maxwell power efficiency either (AMD will go from being flat out completely noncompetitive in mobile to around level - AMD will not have the expected generational improvement over maxwell in mobile).
Nvidia has the market covered and will have something for the lowend by the end of the year. AMD will have nothing until 2017.
Any way you want to slice it Nvidia is releasing a full lineup, AMD is releasing lowend only.
AMD simply doesn't have the resources to do a full top to bottom refresh; they have said as much.
By looking at the GTX 1060 DX-12/Vulkan performance, RX 470 will be equal if not faster at those games at $100 less price (if you could find any $250 GTX 1060 cards) and perhaps at lower power consumption (110W TDP).
Also, Polaris 11 Mobile at 35W TDP will have no competition for the reminder of 2016 it seams and even when NV release any 35W TDP Pascal, there will be more than 10 DX-12/Vulkan games in the market already.
Also Polaris 10 Mobile will compete against GP106, again we should see how those two will compete in the new games coming later in 2016.
There is not a single review of both GTX 1060 and RX 480 that measured power consumption in DX-12 or Vulkan games so far.