edit: I see kgd already simplified this while I was typing all this stuff!
The curved blade will give greater penetration, but in a smaller area. The larger the portion of the edge involved in the chop, the more difference you'll see with that "positive angle".
All other things being equal, it will perform better compared to a straight edge on harder materials due to concentrating the force of the chop into a smaller area.
Same is true of thicker materials that involve a greater percentage of the edge, because the edge will be introduced to the material being cut at different angles and depth along its length.
This allows it to penetrate without binding as much as if the entire edge was at the same depth.
|| vs. )| It's easy to see why the curved edge will have less resistance, and penetrate deeper.
That's why we chop notches instead of straight through something, and why a felling axe(whose entire edge length will be enveloped by the material being cut) has a continuously curved face.
All kinds of variables in chopping, from the knife's blade and edge geometry, primary grind type and geometry, overall weight, momentum/power, angle of the handle in relation to the blade, ergos, etc. and then the material being cut's width, depth, and consistency which is why I said "all other things being equal" and narrowed the "increased performance claims" specifically to harder or deeper cuts.
More involved than most people are going to want to get, but it's always interesting to look at what happens when the rubber meets the road.