WandaVision finale - "Vision" vs "The Vision" in the credits?

Vision refers to Soul Vision, the one Wanda created when she created the Hex. My only evidence for this is in the credits to previous episodes Paul Bettany is credited as playing Vision. for example, the credits for episode 1, "Filmed Before a Live Studio Audience":

CAST

Wanda Maximoff ELIZABETH OLSEN
Vision PAUL BETTANY

We see the same in the credits for episode 8, "Previously On". Also note in these credits Agnes is now Agatha Harkness so the character names do update when new information comes to light.

CAST

Wanda Maximoff ELIZABETH OLSEN
Vision PAUL BETTANY

To be complete the only times in universe "The Vision" is used is when characters are referring to the destroyed body at S.W.O.R.D.. Although Hayward is the only one who does so, I believe, Wanda always calls him Vision or some nickname.

Tyler Hayward: Nine days ago. Maximoff stormed our facility, stole the Vision's body, and resurrected him.

Jimmy Woo: But that's in direct violation of Section 36 B of the Sokovia Accords.

Tyler Hayward: And the Vision's own living will.

_{WandaVision, Season 1 Episode 5, "On a Very Special Episode..."}

The only other character to use "The Vision" in universe during WandaVision is White Vision. He doesn't know who he is at that point though and the programming was overseen by Hayward so we can presume some misinformation has been given out to him here.

Lastly, I just want to note that "The Vision" is used to refer to Vision quite a lot in previous films, for example, it is used in Avengers: Age of Ultron a few times.

Thor: If he can wield the hammer, he can keep the Mind Stone. It's safe with the Vision and these days, safe is in short supply.

_{Avengers: Age of Ultron}

Therefore, all in universe evidence points to White Vision or the "actual" Vision being called The Vision and Wanda's creation as simply Vision.

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Just to add a little bit extra though out of universe the team calls Wanda's creation "Soul Vision", as we see below from an interview with Schaeffer. She does also use White Vision but the interviewer used that so she may have simply been using his terminology.

One of my favorite scenes in the finale is the Ship of Theseus conversation between the Visions. It's a wonderfully written exchange in the midst of all this punching and blasting. At the end of that conversation, why was it important for you to have Vision give or unlock his memories within White Vision?

It wasn't about the directive of, where do we leave White Vision? That wasn't the focus. The focus was, how do you resolve the problem of two Visions fighting each other? Where does that end? They'll just be fighting each other until the end of time. It became clear to us that it's got to be a logic battle, right? You've got two Synthezoids with the exact same programming. It's going to come down to logic. The Vision inside the hex, we call him Soul Vision, we wanted Soul Vision to win based on something that was not only incredibly crafty and indicative of his extreme level of intelligence, but also was aligned with his journey, which is one of identity.

So, he's only thought of himself as Vision this whole story. He hasn't been born that long. It's been a couple days. For him to surrender that authentically to his original self, I guess, it just seemed really beautiful and very smart and we loved it. And the idea of the ship of Theseus is actually Megan McDonnell, one of the other writers in the room who's writing Captain Marvel 2, she stumbled upon that thought experiment and had to explain it to us, like, eight times. We were still like, "Wait, what is the thing?" [Laughs]

_{Entertainment Tonight, 'WandaVision' Creator on Agatha's Master Plan, That Ralph Bohner Reveal and White Vision (Exclusive)}