You are fairly misinformed and are looking entirely at the wrong things, AMD has all the same relevant software as nvidia does, namely ReLive=Shadow play, and their GPU tech like Hairworks, being Tress FX is freely available and open source compared to nvidia as is the rest of their tech.
Overall the RX 580 is a better buy than the 1060, especially factoring in free-sync savings, and Vega 56 was a better buy than the GTX 1070 before the great GPU drought, since it performed faster overall especially with tweaks, it's the GTX 1070ti even exists.
What matters is actual benchmarks not what you perceive to be happening between AMD/Nvidia, AMD has the same kinds of advantages Nvidia has in GTA/Witcher in DOOM, Wolfenstein 2, among others, there's no point to bringing that up, aside from rare cases where a game is so broken on one GPU like Project Cars.
Of course I wouldn't recommend buying any GPU right now if you're building an entire new system, the Ryzen APUs make a lot more sense, since you can just save your money for next gen GPUs.