Here's what I use for the majority of my sharpening needs...home and on the trail.
Top = DMT mini-sharp
Left = DMT diafold
Middle = Lansky crock stick
Right = GATCO tri-seps
I use the diafold, crock stick, and tri-seps at home for all of my blades. I carry the mini-sharp on the trail (sometimes the tri-seps as well).
DMT calls red "fine" and green "extra-fine." Even though red is "fine," I generally do not need a sharpener that is more coarse. As most here on the forums, I maintain a decent edge all of the time, so anything coarser is really not needed (in cases where I do, I use an EZELAP diamond wallet sharpener that works well for me). The crock stick and tri-seps remove any burrs and give me a hair shaving edge.
BTW, I'm not trying to talk you out of an ESEE-6, I'm just saying I don't see anything like that with thru-hikers. In fact fixed blades are a rarity.
I like the ESEE-3 because I have a fixed blade in a small package. I can carry it around town in my front pants pocket and keep it out of sight. So, I'm always with a fixed blade, whereas I couldn't do this with something like an ESEE-6 without if being noticed.
Hope this info helps.