The main issue here for me is resharpening.
A2 takes a screaming sharp edge, holds it a long time and is-easily-resharpened back to its original state. Also, for pure performance, I am sure the edge is thinner on the .115 thick Genesis blade than on the Military (although I haven't measured the spydie).
The edge bevel of the Genesis on several of my samples range from .017"-.020" depending on who sharpened it. Thats pretty thin. Looking forward to that A2.
440V is excellent steel, but in my experience is much harder to reprofile/re-sharpen than any non-stainless tool steel.
(and it WILL need resharpening after a while)
I must concur with Joe on the handle too. Although the Genesis handle isn't the MOST ergonomic in the world, it seems like Spydie could have made the Military grip a good 1/2" shorter.
If you want brawn-go for the Military.
Easily toted, and easier resharpening-Go for the Genesis.