HE6SE v2 is pretty meh without EQ anyway, so I'm implying that both of them would have EQ. Considering that, they should be pretty similar, but one of them is much cheaper and more comfortable (mostly because of weight). But I can only judge from measurements, so I'd be interested in comparsion between HE6SE v2 and HE560 v4.I have HE560v1 and HE6SEv2. HE6SE is better-sounding after EQ, but not worth 2x the price, IMHO.
HE560 without EQ is way too bright for my taste and I couldn't live with them without EQ. HE6SE sounds much better to me without EQ, but does require serious amplification.