Sadly, the hd800 are one of the few high end phones I've not heard yet.
The 6k spike will probably make them sound a little harsh, if the recording isn't absolutely perfect.
The SR202 wasn't too bad with loli, it's treble heavy but there isn't a big 6k spike, so it sounds bright but not 'sharp'. Personally, I had to keep the listening volumes relatively low, or I'd get fatigued.
The LCD2 R1 I had had a dark tilt as you prolly already know, but they had driver ringing at the 5k mark and it was terrible for loli. Muddy + piercing, no thank you!
Just look for something with relatively smooth and clean treble up top, and that will do you just fine~
Unfortunately, that's really rare in the headphone world, so it's all about compromises...