There are a lot of fingerprinting tricks which transcend cookie restrictions and user profiles. The battery percent/value one will reconcile all accounts on one device (as will several other like fonts). If you log into one bucket on multiple devices, it becomes possible to traverse devices and reconcile one-device profiles via the shared profile. If I were truly paranoid, I would only trust "separation" if it involved a clean account on a clean device on a clean network.
None of which is to say that you shouldn't do this! I do lots of privacy things which aren't bulletproof, and I think other people should also. Fighting common tracking structures is still progress, and tools like bucketing and Privacy Badger are great ways to do this.
It's just also worth noting that dedicated profiling will break all but the most pathological defensive measures.