Random is often going to be indirectly fingerprintable too, since some values are always the same (or the same given each browser version). Some values can't be set to be random or otherwise non-fingerprintable data without affecting the user, like viewport size.

Spoofing 'Newly installed most recent version of Google Chrome on the latest version of Windows 11 in the US' without leaving any holes revealing something fishy is surprisingly hard, but that or 'Safari running on recent-ish iPhone running up to date iOS' would be the ideal target to blend in with the crowd.

There are projects that do this already e.g. https://github.com/lwthiker/curl-impersonate

Any idea how iOS’ private browsing impacts fingerprinting?