You can take a cheap ($ 400) action like an Omark, and provided it is trued and the barrel is chambered correctly, it will shoot just as well as a Barnard.
You can take a match grade Krieger, and if the gunsmith is a numpty, it will never shoot as well as a factory Tikka...
Chamber and barrel alignment / trueing is probably no 1 on my list, very closely followed by bedding.
Those 2 issues will solve the vast majority of accuracy problems.
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