Finding the BC of every bullet will tell you how much of any POI changes you see might be due to bullet imperfections. Finding the BC of every bullet literally tells you whether the bullet was in good shape, average shape, or beat up. And finding the BC for a whole bunch of them tells you how good or bad any manufacturer is at keeping bullets in good shape. I don't know why you say it is invariably because of bullet imperfections. There's more than one reason for it happening, and that statement of yours literally means that is the only reason, which is not correct. I don't think your words were chosen carefully there. But finding the BC of every bullet will tell you how much of a difference you should've seen on target because of it, and the target itself will tell you whether or not there was that much difference. And when the two don't align, that tells you there are also other variables at play, which I've already tried to illustrate.
And it is possible to determine how much of a correlation, if any, there is between MV and elevation on target, which is one of the things I actually do to attempt to confirm whether or not my tuner setting is helping or hurting. Saying "I don't think I see any correlation between MV and POI." because you don't think you've seen any on target is different than actually keeping track of good data and letting actual correlation math tell you what the actual answer is. It is possible to work out how much of a correlation there is and how much you should trust that answer.
As for whether or not bullet weight has anything to do with MV change, of course it does. Whether or not it is a predictor is another matter, but since we can't know ahead of time how much primer and powder we have in there, that makes it less probable. However, you can also run tests with different weights to see whether or not there is any correlation between weight and MV. And you can test to see whether or not there is a smaller or larger SD in MV when using light, average, or heavy rounds. While I've done a lot of weight sorting in the past, I've never done any weight testing with a chronograph, as I never had one at the time I was always weight sorting. This is one of the things I want to test soon, and is why I've been weight sorting so much of that Eley Club I have. I want to see if there are any trends in a box of light, a box of average, and a box of heavy, versus unsorted. I already know weight sorting does help with precision by a small amount. Rim sorting does, too. And other methods, too. I'm looking forward to a better examination with better tools that I have at my disposal now versus years ago. I didn't have OnTarget TDS back then for measuring target results. I didn't have a LabRadar back then for measuring MV and BC. And I didn't have any of the other computer help that relies on OnTarget and LabRadar data, either, obviously. All these tools make examining things in greater detail a lot easier.
Any time there is a similar discussion to this there are invariably many "We can't know." comments, but "we can't know" isn't always the case. There are many ways to examine things, and maybe someone simply hasn't thought of a way yet. Someone else may have thought of a way. Maybe there are things we can't know. And maybe there are ways of knowing things of which you simply are unaware of thus far. This is why discussing things is great, because somebody in the group might have an idea nobody else in the group had considered yet, and it makes everybody a little more knowledgeable in the end.
So with everything boiled away, the only thing that matters is finding an ammo a particular rifle likes, then hope you can find more of that ammo.
Not chronographing, or trying to track patterns between mv and poi.
Well, probably the most important thing to do despite the fact that we can do some things to improve results in various ways is to simply find the brand/line/lot number that shoots best in a given barrel, yes. But there are reasons for chronographing and trying to track patterns of all sorts of things. It helps us get a better understanding of what is happening, and can lead to understanding why it is happening, which can lead to better practices or designs.