I'm not an authority on gun barrels...but seeing your question going unanswered is bugging me a little.

I do have a Precision 10 .223, and talked my nephew into an Axis in .223 last Christmas. I've shot both, and CAN tell you that my gun..costing more than 2x more, doesn't seem to print a whole lot better. I'm no match shooter, but have been shooting almost twice as long as my nephew has been alive, and he can damn-near shoot his Axis as well as can shoot my Precision 10~as hard as that is to admit.

I'm reloading now, gaining some ground on the SOB, but that Axis is a very impressive shooter for the money when fed Hornady 55gr. V-Max. I'm not sure how you'd determine whether factory barrel X is better than factory barrel Y coming from the same company, but if you're having an reservations about a .223 Axis shooting well, I wouldn't if I were you. I saw many groundhogs fall to that gun, wearing a mediocre scope and a rickety Harris knock-off bipod!