First thing that is needed is a understanding of barrel harmonics and what a tuner does.
a 30 minute video on harmonics
Overall, a very good video. One thing he seemed to imply more than once that I don't agree with is he seems to say that moving a node to the end of the bbl gives best accuracy. A little physics though...you can't move a node to the end of a cantilevered beam, unless you have something attached to the end, ie a brake or a tuner that extends beyond the muzzle. BUT, we all know that guns can be tuned to shoot just as well without anything at the end or with a behind the muzzle tuner. So, what's happening is we are timing bullet exit to happen at the anti-nodes. He mentions them as the place of maximum muzzle displacement, which is true. This is pretty much the basis for my sine wave test. You literally see the poi move to top and bottom and coincide with a sweet spot at that point.
The other thing is not in the video but was mentioned by another poster too is positive compensation as being "how tuners work". Well, again, guns can shoot without tuners or with them, so I do believe in pc but that it's more of a side benefit of an adjustable mass at the muzzle vs "how" they work. A lot more goes into pc than simply screwing a tuner on. So, I don't hang my hat on pc as the goal but I do like to tune to the top of the sine wave when possible because of pc. I want very readable, predictable and repeatable group shapes more than anything else because any adjustments to the tuner are based on that. If you want the best accuracy, good loading techniques are still critical but yes a tuner can help with small velocity variations if you're tuned to the top, where pc is possible to achieve at least some of. I don't think we can get 100% of pc or if we could, our guns would be very drastically different in regard to shape and center of gravity in relation the the centerline of the bore.
Jim, thanks for posting that video though. It breaks things down pretty simply, so we can understand the basics pretty easily, of why tuners work. It gives enough to get people to think it through but not so much that it confuses. Many are only concerned in how to use one more so than why they work, but there are both schools of thought and it can only help to better understand what's going on.
As for tuner testing at longer yardages, I look at it simply like this. Yes, if you go from say 100 to 200 yards, the tune will be worth double as at 100 but the kicker is that wind is worth more like 4 times as much as it was at 100. The easiest way imho is to do initial testing at 100 on cf rifles, then confirm or make a small adjutment for longer range, if needed. Yes, pc is yardage dependent. But again, IMO, pc is only a part of tuning