All the nonsense about "gotta be a heavy barrel, gotta be fast twist is just that.
It's not by any means an absolute requirement, it's just probability. Premium quality lightweight barrels can be extremely accurate when barrel harmonics, loads and twist rate match. It's just a matter of having such a barrel made and finding the perfect combination, not something that can automatically be expected from an over the counter bulk barrel and factory loads. I've seen a bone stock A1 shoot consistent 0.3MOA with regular Norma 55gr Jaktmatch all day long. Once. I suggested that the guy who owned it bought a bunch of lottery tickets now that he was really on a roll.