My comparisons are not mirroring this personally. I'm using Bifrost Multibit+Jot and Ifi iDSD BL. I find the LCD2C a fantastic listen. It is warmer than the HE560 for sure with a meatier midrange and more fleshed bottom end. The treble on the 560 I find more airy and revealing. If I could have the low/mids of the 2C and highs of the 560 I'd be blown away. The 560 hits harder, while the LCD2C goes deeper and has more layers. The LCD2C gets congested much easier than the 560, as the LCD2C is with its thicker sound. I've owned a Magni 3, and the Jot has been much better BAL to the 560 in terms of technical ability. YMMV - I may be keeping both of these headphones. The 560 is more of a detailed stripped back listen. The LCD2C is a very enjoyable experience, MUCH easier to amp however is more 'veiled' in comparison with rolled treble. More suited to a relaxing listen.
The LCD2C treble is rolled and sounds a bit V shaped with what treble is there being more forward than the 560, I'd call the 560 more linear for sure.
560 with stock pads has a brighter presence especially on strings, given that 'artificial' but wickedly detailed presentation. Focus-A pads resolved this for me. LCD2C has a lot of reverb, 560 is MUCH cleaner. More detail present with an 'out of your head' experience on some sounds.
Dear god the 560 feels much cheaper than the LCD2C