From my experience in searching for the holy grail of barrels (on my 3rd) I found that the crown and how true the bore is seems to have more effect.
I had a barrel that was not concentric at all through the bore, but when the crown was tidied up it shot well.
Also had another where the end was chopped off at the muzzle and it also shot very well after a re crown.
I now have a LW made to my spec with minimal choke added and a well machined crown and it is positively epic!