I've always found centre-bedding to be extremely marginal in .303 - most of my best shooters have been standard.
Centre-bedded SRb rifles from the likes of Fultons, Stensby, A J Parker, etc, have a small statistical accuracy advantage over standard rifles for the simple reason that they were all hand built - i.e. 100% of that sample group have had attention to their set-up, whereas x% of standard rifles will probably have not had any attention since they left service, or have never been properly fitted.
The only time I ever centre bed a rifle is as a last resort when a numbered original forend is too banana-shaped to be adjusted for standard bedding....