Hehe, why are you asking me if the K702 sounds anything like the HD560s if you also own both, ha! Naa, but no, they're not remotely similar at stock without EQ, but of course they're more similar if both are EQ'd to the same Target Curve (say Harman Curve). There's still differences though, even if you've had your individual K702 unit & HD560s unit measured by Oratory (I have) which is then taking out the variable of unit to unit variation in terms of how accurately they've been EQ'd to the Harman Curve.....yes so even then they don't sound exactly the same. The K702 is a more expansive soundstage than the HD560s, but I find the HD560s to image with greater positional clarity within that stage even though it's a smaller overall stage. The HD560s also does bass with greater clarity/definition than the K702.
I've recently bought a miniDSP EARS headphone measuring device which is enabling me to explore/EQ the 3 units of K702 that I own with greater accuracy, and also the 3 units of HD560s I own, so the jury is a little bit still out for me on which I prefer the most.....it had been the HD560s, but work with the miniDSP EARS is potentially changing that.....I haven't done enough investigation yet to finally nail it down, but I'll say the HD560s for now as my overall favourite, it's certainly a better buy as the unit to unit variation is less, so it's a lot more solid buying option for people out there without measuring devices (basically EVERYONE then!).....it's also a more reliable headphone in terms of failure, the K702 fails on the solder eventually, at which point you have to solder the wires back on - if you solder them on properly they won't fail, but they don't solder them on optimally at the K702 factory.