If your aiming for satin jacks you might want to go for the competition finish for such small branches, but for anything thicker I'd go with the sjtacle. If you going with the satin jack size, I'd probably go with the sar4. You lose
so much edge to the larger choil on such a small knife. The drawback with the sar4 being the massive giant flared pommel. 25% of the handle is unneeded for normal use. The batac shown here is one of the heaviest models, the 2007se. The normal edition was 3/16" where the se version is .220. It makes a huge difference, the se feels way more substantial in the hand.
The alternative in the satin jack size is the hellrazor, tankbuster, sar5 and basic 7. The sar5 has a grip that would be hard to manage with slippery hands and no gaurd, and the basic 7 and helrazor are both considerably lighter then the tank buster. The tank buster is like holding a 2 pound weight, it is extremely solid and will have the most versatility in chopping because of the additional weight.
Despite it's size, the boss jack could probably manage it's own with 1-2" branches. It's thick and fairly substantial for it's small size, if you brought the edge down to 18" degree's per side you could probably get through a 2" branch in 4 swings.