Surprisingly, there's little difference, relatively. A very common example that I see all the time is the difference between a typical say 22" LV contour bbl on a short range br rifle vs. a 30" 1.250 straight on a long range br or f-class rifle. You'd think there's a drastic difference but not so much in terms of how far it is from extreme in tune to extreme out of tune. The difference is only about 1 mark on my tuner! Very typically, it's 4 marks on the sr rifle and 5 on the LR gun...again, from extreme in tune, to extreme out of tune...bad as it can be tune wise.I'm not a tuner expert. I have a couple, and have used them enough to get a feel for them, but that's about it. I don't use them anymore because for the shooting I do, they have not been worth the cost/complexity/time that they demand. They don't solve my biggest problems.
That said, I know a thing or two about vibrations and dynamic structures. Broadly speaking, there are three things that matter - weight, stiffness, and geometry, and all of them are significant. And I'm talking about the whole system, from the shooter's shoulder, the bench, the rifle, the tuner. We as shooters like to try to isolate variables like tuner weight as any good scientist would. But to do that you have to assume everything else is the same. With rifles, that's just not the case. An F T/R rifle vs a PRS rifle vs a short range BR gun vs Long range BR vs rimfire - the rifles are different enough to matter.
I do think you're still mostly right though. Because, if you calculate the relative stiffness of those two barrels, the difference is much, much less than most would assume it to be and percentage wise, that one mark is significant.