From my understanding of Content Security Policy, the nonce has to change on every request. That means (I think) it must be generated at run-time on the client, not at build-time in the Webpack config. I've tested the webpack_nonce functionality in my app and it works great.
Unfortunately, I'm not sure how to get that value, generated at run-time on the client, to the actual CSP policy, which is either set as a meta-tag in the index.html file (or some equivalent) or on the server itself.
I suppose you could set the CSP meta-tag dynamically on the client, but that seems like a security risk. I've experimented with the csp-webpack-plugin, which calculates hashes of files at build-time and then adds them to the index.html. This process makes sense to me, it just didn't support our use case.
I just feel like I'm missing something with using webpack_nonce.