I think Loog Oldham got no songwriting credits, but he got mechanical royalties for the string sample. Jagger & Richards got the writing credits, yet Ashcroft sampled the Loog Oldham cover of the Stones song. But the sample is basically entirely Loog Oldham's work, Jagger & Richards had nothing to do with the classic string piece that was sampled. Loog Oldham had to sue The Verve for his money I think.
Lots of people saying that Ashcroft now deservedly getting the credit back for Bittersweet Symphony, but without Loog Oldham's cover, Bittersweet Symphony would never have existed.