Here are some 340 dyno numbers from an article a few years back. They basically bolted stuff to a 340 and dynoed it after each mod. The first thing they did was go to an 800 cfm carb, but the second thing they did was ditch a set of 340 TA manifolds for a set of 1 5/8" Hooker headers (These are the cheaper Comp headers, not the 1 3/4" Super Comps like I run). They start the dyno at 3000 RPM, at that rpm the headers make an extra 4 hp and an extra 7 ft/lbs of torque vs the manifolds (with the carb). Not a ton, but at peak, the headers made an extra 14 hp and 17 ft lbs of torque. What I found a little strange is that it actually moved the torque peak DOWN 400 rpm vs the manifolds, peaking at 3600 rpm, and holding peak numbers longer than the manifolds.
So, with an otherwise stock 340 (just a big carb and headers), its not an insignificant change. Not a huge one, but keep in mind the more things you do (intake, cam, compression etc) the more limiting the manifolds will be.
Here's the page with the results and the header info, a little hard to read but you're comparing test 3 vs 2.