I think this is debatable if the user's history (or should be) is always closely related to the function and vice versa.
But, by definition, the user's story is not . These are different things.
User History :
In software development and product management, a user story is one or more sentences in the everyday or business language of the end user or system user, which captures what the user does or must perform as part of his work.
Software function :
"A distinctive feature of a software item (such as performance, portability, or functionality).
This is a truly open and vague description of the function of the software, but not for the history of the user. The user story must respect a specific format for a specific purpose: you can answer the question of when, where, who and / or why in the user's history (depending on what format you intended).
IMO, if you already use user stories, you should not worry about this relationship, just make sure your user stories are well written.
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