Capstone Precision Group's "Lapua Rimfire Performance Center" is Lapua's tunnel testing facility in Mesa Arizona. Website link:
https://www.capstonepg.com/rpc/
In their "Important Notes: preparing you rifle for testing" info, link:
https://www.capstonepg.com/rpc/important-notes/
They state:
"Unless otherwise requested, your rifle will be removed from the stock and mounted on a machined bedding block to fit in the machine vise...."
and
"We recommend you leave tuners, bloop tubes, muzzle breaks, and front sights mounted on firearms for the testing process. Anything touching your barrel affects the harmonics, and we want to test your rifle in the same conditions that you would compete under."
They will test your rifle with it in your stock, if you want.
They have a cool 3:19 minute video on the testing center that goes with this website that you can watch from their website, or on YouTube, link:
Its well worth watching. One of the narrators is a competitive 3-position/prone shooter (aperture sights). In the video he mentions the critical importance of ammo lot selection (which is what the testing facility is for). Note he does use a tuner on his rifle in the video, although he does not mention it.
Another narrator in the video is the testing center operator who is also a competitive rimfire PRS shooter, and he does not use a tuner on his rifle in the video. I would expect that tuner induced small changes in group size for PRS may be negligible and not worth the extra weight, fuss, and snag-ability on bags, because the gong sizes are big enough, and the much larger variables are the wind, and physical steadiness control in body positions on the barricades.
The aperture sights 3-position/prone shooter has the same known positions and must be able to repeat the exact same high precision performance, shot after shot. (Same for benchrest). The new electronic rimfire scoring systems (in high end state of the art facilities), now use decimal place scores for the aggregates (no need for X's), which now divides the already small ISSF target rings into digital tenths! See the Olympic video example below for the electronic decimal scoring system in use.
In the Olympic smallbore competitions (indoor, no wind) I watched on YouTube, I noticed all the competitors use bloop tubes. The main purpose is for lengthening the sight radius. But a bloop tube is also a barrel weight and will affect harmonics tune, especially since its hanging off the end of the muzzle on long barreled rifles. It also looks from the videos that some shooters also use an adjustable tuner weight on the bloop tube, and some do not.
Example from the 2016 Rio Olympics, finals, 50m prone (12 minutes main highlights). I think the gold medalist used a tuner weight on his bloop tube:
Tuners absolutely "work" as per the laws of physics and thermodynamics, to change the barrel harmonics. "Change" does not necessarily mean for the better, it can go either way. As others have mentioned above, its then the task of the shooter to figure out the barrel position and settings to see how much it makes a measurable difference for their shooting discipline and ammo lot.
Its not a question of "if" a tuner (or barrel added weight) it makes a harmonics difference - it absolutely does. The question is "is the on-target difference measurable and meaningful for practical purposes, and in a positive way (better score or group size) for the specific discipline, with my lot of ammo, and oh ya, what are the wind conditions and can I read the flags well?".
