Steelhead1,
To answer your question: unless you have the very rare and far between "Hummer" for a barrel (which almost never happens, especially with a "factory" gun) a tuner will definitely improve your accuracy from where you're at now. And, if you had a "Hummer", you wouldn't be asking the question because all shots would land in one-hole all the time. I also have a Model 82G which 19 years ago I had set up for bench rest, and other than for the trigger, which can be improved with a little time in the shop, they're nice guns.
Jim,
You are looking at this the wrong way. It doesn't matter what action you have, but rather what the make and configuration of your barrel is. If you have a Factory barrel, and there were some great factory Suhl barrels out there that were simply incredible like the one on Gary Mitchell's "Ole Blue", then you've got a good starting point. But if you had one of those, you wouldn't be asking this question because most likely you'd be satisfied with your results without needing a tuner. And if you have a replacement barrel, each manufacturer does things differently, so just because one person finds one thing with there tuner doesn't mean the same will hold true for yours. But at least it will give you a starting point.
For instance: I've owned 2 Suhls in my time with both having replacement barrels: one had a Lilja 1:17 tight bore, and the other a Broughton 5C Reverse Taper of the same twist rate. Both had Harrell Tuners on them. The one I now have shoots best with a lower number setting and no added weight where the other shot lights out with a mid-range setting and after adding the Bill Calfee recommended 3 steel washers (requiring drilling and tapping). And when I say it shot lights out, I mean it was because of that gun I made it into the Hall of Fame. It carried me near the top of the heap for years before I was stupid enough to sell it (at a premium price) thinking I could repeat it's accuracy with the Suhl I'm now using. Didn't happen though, but thank God I shot it for as long as I did! Of course, enough can't be said about how much Lot Testing of ammo has to do with a guns overall accuracy, cause without good ammo, the tuner setting won't be the answer. Both have to work together when trying to wring that last bit of accuracy out of your gun.
It's all a game of trial and error when it comes to the tuner, so good luck. I would recommend buying the broadest array of screw-on weights for your tuner (Dan Killough sells a good selection, at a good price) then go from there.
Good luck,
Dave Shattuck