After you slug your bbl, you "may" know what can improve the groups.
After you shoot some .356" bullets, you'll know if the groups improve.
Berry's offers sample packs fairly cheap. Other companies may do the same--you can ask them. I already loaded and shot the 147s and most of mine or I'd send you some. Easy for me to "say".
I know four other competitors that shoot the Shadows or SPO1s using .355 bullets successfully---range talk. Add my 3 and others here on the forum, and I'll make you a wager.
10 of my Berry's HBRN bullets against 10 of your new plated bullets , that when you do find the cause, it's not the "bullet diameters" themselves causing the random groups. Warning Odds are in my favor.