The concept of time travel is purely speculative and theoretical at this point, as there is no scientific evidence or consensus on its possibility. However, if we entertain the idea of time travel, there are various theories and interpretations that can help us explore your question.
In some fictional depictions of time travel, such as the concept of a "closed loop" or "predestination paradox," events in the past are said to be predetermined and cannot be altered. In such a scenario, if someone were to travel back in time and influence or inspire certain works of fiction, those works would have always existed as a result of the time traveler's actions. So, in this case, someone who learns to time travel and influences television shows about time travel earlier in their life would indeed see those shows positioned as fiction.
On the other hand, other time travel theories, such as the "multiverse" or "parallel universes," suggest that traveling back in time could create a divergent timeline or a new branch of reality. In this scenario, the person who travels back in time and influences the creation of television shows would not necessarily see those shows positioned as fiction in their own timeline. Instead, they might observe a different reality where the shows exist as fiction based on their time-traveling actions.
It's important to remember that time travel, if possible, would likely operate according to rules and principles beyond our current understanding. Speculating about the specifics of time travel, including its impact on fictional works, remains a matter of imagination and creative interpretation rather than scientific fact.