According to TFA, conventional nuclear power plants would exhaust the available uranium resources in 5.7 years if used to provide 100% of the world primary energy. The world could not possibly have followed Sweden and France even if it wanted to.
That said, that assumes we only use USA-style LWR/PWRs that depend on natural U-235 to operate, I think, given that the numbers I've seen for reactors operating on unenriched uranium point to more like 50 years as super low-end estimate.