There are differences between the K7xx, which is based on the 702s, and tuned to sound more like the 712s. I've heard both, and prefer the K712s still, but both still have a fairly spicy treble. They work better with warm amps.
They're very different from the X2 though. The X2 is on the warm side of neutral with what I think to be a FAR superior bass to the 990s. The treble is more controlled, but not the cleanest.
If you're using these for Arma, PUBG, or some similar game where positioning matters and margins of error are small, I'd recommend the x2 over the k712. it just images more accurately. I think the K712 edges out the x2 for specific types of music, but the x2 plays better with other music, and performs better in general non-music use. The offset is that the x2 is heavy, and can be uncomfortable to wear for hours at a time. No such problem with the k712. I think the better comparison in this case might be the K712, ATH-R70x, and X2. The 712s lean towards the bright side,, the r70s (or the hd600) tend toward neutral, and the x2s (or hd6xx) are warm. At least then you'd have a variety to judge from.
It may come down to the K712, X2, or the HD6XX then as I've tried the HD558s (with the mod to sound closer to the 598) and I just wasn't a fan of the neutrality.
Thanks a lot for the suggestions and insight, it helps me narrow it down to headphones that'll be the most suitable for me