Local AI will have the bias that existed at the time of its training, which is different from no bias. For stuff that needs to be current, a local LLM would need to search the net regardless.

And since "no bias" isn't something that actually exists in reality when it comes to language or even anything near humans, "bias in local model I can introspect" will always be miles ahead of "bias I know is there, but cannot introspect".