true, but I believe the grind will influence that a good deal. A full flat grind would bind more easily, so using thinner stock might help. Thin and fully convexed would probably baton and split really well.
Well, I would expect the splitting/batoning-with-the-grain efficiency to undergo a minimum as a function of thickness: A thin, wide knife presenting a small cross section and showing a small wedging effect will be more efficient than a thicker, less wide blade, but you have to baton the blade all the way through, you don't really split. At some thickness though you just have to baton the blade part-way and the wedging effect (just like a splitting maul or splitting axe) will drive the log apart and efficience increases again. However, batoning against the grain a thin, wide blade should always be more efficient. However, I think the drawback of a wide and thick blade during chopping is often overlooked: Wide, and thick blades tend to turn in your hand especially on not so ideally excecuted strikes.
Convexing or ideally a median ridge geometry should help to minimize binding, by reducing the contact area.
As to the BRKT grind in particular. I do think that BRKTs (as far as I have seen them) set a positive example for grinds on production knifes, but not because most of them are convex, but because of the geometry of the convex grind. Just like all other grinds you can make thick and thin convex grinds with different angles (as measure as tangents to the curve). A convex grind is essentially nothing but a multibevel with blended transitions and the key is what these bevels are. As far as I have seen them the actual edge angle (tangent to the curve at the edge) on a BRKT grind is about 12 deg per side (they are hand ground so some variation is expected) and tapering quickly back - much more accute than your run of the mill tactical fixed blade factory edge. And even their heavier knives are under 0.25" at the spine...thinner than many of the big "tactical" choppers. So, all in all we are actually talking about a fairly trim blade and in particular edge geometry. That combined with fairly fine grained steels is in my opinion why they cut so well. Yet, BRKT is heavily endorsing batoning of their knives, including point-first batoning which seems like madness and deliberate knife abuse to me (the subsequent splitting more than the batoning though) but, hey, what do I know

. Really the only argument you could make specifically for a convex grind as opposed to a multibevel geometry is that you elimiate the friction from the sharp transitions on the shoulders, which I would think, is a rather small effect though.
EDIT: Just in case I didn't get my point across: I am impressed by the fact that BRKT is endorsing and encouraging heavy batoning of their knives, even though they run their edges and blades pretty lean and trim when compared to other production companies. Which means that they are confident in their edge and blade stability and are willing to back it up. Which, not coincidentally, is the reason I have another BRKT blade in the mail.