A two-bevel flat grind will act differently than a convex grind. Having said that, the difference between a convex bevel and a
multi-flat-bevel is slim to none. But that's harder to do, than to just convex it...
Imagine your knife as the bow of a boat pushing through the water.
Here we have 6 different boat/knife shapes:
1 - Hollow
2 - Full Convex
3 - Full Flat
4 - 2 bevel Flat
5 - 2 bevel Flat/Convex
6 - complex grind
As #1 is going through the water, the front pierces the water very easily, but it has to work harder and harder the further it goes because the shape is displacing the water more and more (bow to stern).
#2 does the most work right at the edge, then the job gets easier as it goes bow to stern because the angle is decreasing.
On #3 the angle is constant, so the work/effort is the same along the entire edge, neither easier nor harder.
#4 has advantage over #3 because more of the harder work is done first, making it easier to push deeper.
#5 has even more advantage because there is not abrupt change in angle where the bevels meet. It is smooth and allows material to be displaced more easily. However, at the spine, the abrupt angle keeps the knife from displacing material
completely - this only matters if you intend to pass the entire knife through a material.
#6 is a complex grind that I am working on right now. It also happens to be very similar to the grind of the knife that Charlie Snale used to win the Cutting Contest at the Moran Hammer-In. Jerry Fisk also brought up this idea in his cutting test class. You start with a #5 grind (Flat/Convex) and then smooth over the spine, starting by flattening the bevel at least 1/2" from the top and then rounding over the spine. You could take this further and make it one smooth arc from edge all the way around to edge. In my mind that makes the most efficient cut (and is the only one that actually starts to look like a boat capable of cutting the waves).
Now, it should be obvious that we don't use our knives to cut water...
This serves more as an analagous demonstration of the idea of "material displacement" - which applies in general to all materials. Granted, some materials act differently than others under the knife. However, across the board, those are the exceptions and not the rule. Your "average Joe" knife needs to be able to handle many different materials, both soft and hard, both firm and fluid.