Like I said, the graphics card manufacturer doesn't matter - the GPU chip itself matters. On the other hand, the CPU manufacturer does matter, but only because the two major CPU manufacturers today use different configurations for their CPUs - AMD CPUs have more cores and lower clock speed, which helps them last longer, but unable to play at high refresh rate, i.e., 144+ Hz. Intel CPUs have lesser cores and higher clock speed, so they won't serve you as long, but will play at 144+ Hz better than AMD processors. This comparison is only relevant to current generation of both companies, not their future setups, when these things may change. But for today, Ryzen is a better deal for 60 Hz gaming, since it's more future-proof and is overclockable on cheaper boards.
Also, agree with maxalge here - get the 1600, the extra cost of the 1600X isn't worth it.