How much does grip/pressure on the gun affect gun harmonics?? I’d think on barrel movement, not that much, but maybe on how the gun moves under recoil- which would be a bigger issue with something with more kick than a 22?
That's a good question.
Rimfire benchrest shooters can be very fastidious when it comes to what might influence the performance when tuning a rifle.
In short, almost everything can affect how a rifle with a tuner can react together. And when the shooting is not BR, it doesn't get any easier or more straightforward.
BR shooters typically shoot "free recoil" style. They don't touch the rifle, except for activating the trigger. The trigger pull must be very low. By avoiding touching the rifle, BR shooters avoid inconsistent contact with it, such as that which can be caused by inevitably varying levels of grip or pressure on the rifle when holding it.
Some BR shooters say they find that tuner readjustment is necessary when they move the scope or change it.
The rest and how the rifle sits on it -- the contact points -- should be consistent every time the shooter wishes to use the same tuner setting.
Consistent ammo is a must for achieving a properly tuned rifle. Without it, it's very difficult during whatever method of tuning is used -- Hopewell, a modified Hopewell, or something else -- to be certain if the results downrange are the product of the tuner or inconsistent ammo.
A tuner will not make inconsistent ammo shoot any differently. It will remain inconsistent.
Is it necessary to adjust the tuner for different lots of good, consistent ammo? There are differing views on that among serious BR shooters. Many will say that once the best tune is found (there can be more than one), the tuner doesn't have to be moved. It will shoot all good ammo well. Of course, others will disagree.
Is it necessary to adjust the tuner for different distances? If the "positive compensation" theory of how a tuner works is accepted, then the answer is "yes". Many serious BR shooters who also shoot at 100 yards report that a good tune at 50 works at the longer distance.
In any case, anyone using a tuner for shooting at a variety of distances must hope that adjusting the tuner for different distances isn't required. If it were, it would be very difficult to make adjustments, especially if distances varied unpredictably.
A tuner is not a short cut or a solution for inconsistent ammo. The first best course of action for a shooter looking to get the best accuracy out of his rifle is to find suitable ammo. Random lots of expensive ammo, regardless of the name on the package, won't guarantee good performance. Getting a tuner to work effectively and consistently relies on using a rifle with ammo that's consistent and uses rests that don't appreciably change between shots.
Finding the best tuner setting on a .22LR rimfire rifle may not be as easy as many may assume. A very experienced and respected BR shooter who posts on many forums and does extensive testing in his own testing tunnel offers this observation about how difficult it can be to tune a rimfire rifle:
A word of caution. I've never found it as easy to tune a RF rifle as most would suggest it is. Fact is, I've yet to test a rifle in my ballistic tunnel that was truly tuned even when someone brings a rifle and is convinced it's tuned.
See
https://www.rimfirecentral.com/forums/showpost.php?p=11089975