There were many British full power rifles that provided enough accuracy for humane hunting., besides the Webley Omega. There were also Anschutz 333/335's, the BSF's, Haenels (no powehouses but well made and accurate), CZ (ditto)'s and various other Eastern European rifles that were well represented with local shooters in my area but long since sent out of production.
And there were many other oddities, that didn't account for many rabbits and rats but knocked down a lot of tin cans and punched through paper pretty well.