Usually this is how I decide in such scenarios:

• If the data is not sensitive, like search keyword I use query params.
• If the data should be an app-wide state then I use Context. keep in mind that refreshing will lose the data unless you persist it.
• If the state stored in Context should be persisted I use localStorage.

Now for your scenario, I think there is something wrong in terms of UX vs Security in your flow. I would never auto-complete a password field. If password was an example and you won't really pass it to the next page, then I would go with Context or Zustand only if the other data (which should be passed) is non-sensitive.