I bought a sizer and have not really seen a lot of difference in group size or accuracy. After thinking about it, I wonder if the act of loading the pellet into the breech is all the sizing that is needed. Your comments, please.
Your question is really two questions. Taking the first implied question: Does head size matter?
Some years ago I did an experiment to answer this question and the pics below summarise some of the dat as far as it went. It certainly suggested that head size can matter. There was little difference from "tin" size of 4.51 down to 4.47 with 4.50 as possibly the optimal? At 4.44/4,45 the group was a little bigger. At 4.43 it had lost it and was considerably larger and 4.41 even bigger. So that answers the first question.
25 yards:
Now if we consider/speculate as to reason, my conclusion in this case was that at some small size "break point" point the head was not stably locating within the lands of the rifling and so was allowing for some yawing motion in its travel within the barrel and that was allowing for shot-to-shot attitude variations when leaving the crown. Hence the shotgun spread.
Your real question: Unfortunately I didn't then have any large headed, say 4.53 or 4.54 or larger pellets to really test your OP question at that time. But later when they were available it became obvious to me that groups were not so good and that the larger the heads the less the action of forceful chambering, as a sizing method, was able to consistently produce groups as good as when carefully resizing to 4.50/4.51 for that RAW TM 1000.
My speculation leads me to believe that overly large heads are difficult to force into the leade consistently without some yaw and that that yaw, too, may be inconsistent in its attitude. Downsizing may be accomplished but not necessarily concentric to the pellet's central axis. ... Careful head sizing to optimal for any given barrel land ID may therefore be advantageous, preferably done either using two or more graduated size sizers or a long tapered sizer like one I use made from a particular old Bic ballpoint pen.
However, when all said and done, each of us must decide for ouselves as to what accuracy is acceptable for our purposes and as to how much time and effort we are prepared to spend to attain it. For eight years I have habitually resized my .25 pellets to just precisely that viz., .2500". And I notice lately that others including some of the gurus too are doing the same. ........ I hope some may find something of interest in this. Kind regards, Harry.