They are voiced kind've similarly I guess, but the HD800 is more U-shaped in FR than the SR-009. The HD800 does many things tremendously for a dynamic, but compared to a top flight electrostat they simply can't quite keep up. The SR-009 is more neutral (mids aren't scooped), is cleaner, more detailed, faster, better at handling complex passages, has a much cleaner sounding treble, and has slightly better bass extension.
Regarding soundstage: both have large soundstages, but they have a pretty drastic difference in size of images. The SR-009 presents images as large, tiny, or anywhere in between. The HD800 has nothing but large images, similar to the Stax Lambda presentation. This can be a pretty cool effect, but I find it unnatural and often times distracting. In terms of imaging precision, I think the SR-009 is tops along with the SR-007. The HD800 is a little fuzzy on the edges, but nothing too severe...similar to the HE90.
Regarding "soul": this is becoming one of my least favorite buzzwords. I've seen it attributed to headphones, amps, sources, and cables when it should be attributed to music, mood, and mindset. I can't help but roll my eyes everytime I see somebody claiming some piece of equipment doesn't have soul. Change the music. Listen when you're not sick. You should be able to enjoy your music from crappy laptop speakers or a heavily distorted PA system, let alone something as relatively accurate as the headphones being discussed. No headphone is good enough to solve your personal problems.