If I linked a YouTube account to my PS4, and a different account to my PS5, will a livestream appear from both consoles?

Okay, this is a maybe stupid question that I don’t exactly know how to word, so I’m gonna rephrase it and elaborate upon it here: I have both a PS4, and PS5. I used to stream on my PS4, and have not streamed since I got a PS5 a few years ago.

When I got my PS5, I transferred all of my data from my PS4, to my PS5. I would later wind up altering my PlayStation username, password, and some other things on my PS5 for safety reasons. As well as linking a new YouTube channel to my PS5. I have not unlinked anything from my PS4, because I have not used my PS4 in years at this point.

My question, then, is simple: If I stream from my PS5, on this newer-linked YouTube account, will my old YouTube account linked to my PS4 also begin streaming?