If you have a cutting tool of any kind I see no reason not to keep it as sharp as you're able to get it. That said, I'll give my reasoning behind it. Razor sharp, and razor shaped are two different things.
A 40 degree inclusive angle can be, to most people, razor sharp and still maintain durability. Naturally, how long it will hold that edge depends on a lot of things; steel, heat treat, grind, etc.
A good tool steel, well treated, with a convex grind should have no trouble chopping and maintaining it's edge. After all the above basically describes most axes.
I'd suggest finding a good compromise for your edges based on what you expect to chop. Clean, knot free, softwoods won't bother an acute edge but dirty/sandy, knotted, hardwoods would wreak havoc on a fine edge. As with any other cutting tool, you just have to adjust your grind and angles to what you intend on using them for. That's my two cents on the matter. Not the end of the matter I'm sure though.
P.S. For a strictly chopping tool I'd also go with a polished/mirror smooth finish. It will reduce the chances of chipping out and toothy/micro serrated edges serve no benefit for chopping. Again, just my opinion.
Gautier