Okay that makes sense when it comes to hunting, and it may be true that the barrel harmonics are influenced to some degree by how you support the gun, but you first need a well controlled experiment to see what the barrel tuner is doing. Something that eliminates all other variables as much as you reasonably can. Then when you have some confidence that it helps (or not), somewhat understand how it behaves with small or large adjustments, etc. Then re-introduce your hunting hold.
At present, I suspect the page of groups tells you the same thing it tells me...which is nothing. Whatever differences may exist are buried in the noise. Some hints at vertical stringing here, horizontal stringing there, others somewhat round, all fairly large. I have no way of knowing how much is attributable to the hold, or the wind, or the basic accuracy of the rifle, or the extreme spread, and how much is random chance based on a sample size of one group for each setting.
Got to get those variables down and the sample size up. You’re right on about addressing the state of tune first.