Hopefully, Polaris and Zen are going to be massive improvements.
But even current cards like the Fury look fine, especially if you consider DX12 and Vulkan performance. nVidia just spent a lot of money on optimizing the drivers for DX11.
About recording & streaming — that's not just a software feature, that's dedicated video encoding hardware on the cards. nVidia heavily pushed their own software that uses the hardware, but AMD were the first with the hardware itself, according to Wikipedia:
> Video Coding Engine was introduced with the Radeon HD 7900 on 22 December 2011
> [NVENC] was introduced with the Kepler-based GeForce 600 series in March 2012