spin off vs. followed by

I find the overarching subject matter to be somewhat tricky. We could suppose that the television series Willow is only considered a spin-off because it is an episodic series rather than a consolidated movie of average running time, which would be a sequel movie. Now, consider. for example, something like Hobbs & Shaw. That movie is a spin-off of The Fast and the Furious collection of movies. However, one can easily see how The Fast and the Furious: Tokyo Drift vaguely felt like was merely spun off from the two F&F movies preceding it, because of how none of the previous protagonists returned as main characters in it, but yet the movie has basically become understood to be the third installment of the F&F movie franchise, given the way the corresponding studio is numbering the sequels. Maybe in some cases, it makes sense for a given movie to be linked as both a sequel and spin-off of another, but perhaps it wouldn't make sense for the same to apply to television series. The whole concept of spin-offs is primarily a thing that acknowledges the relationship between two television series, whereby a new series begins before the older series concludes, and they both share the same fictional universe or are documentaries focused on different locations or categories of people (by age, sex, ethnicity, nationality, sexual orientation or so). Except on rare occasion, television series with multiple seasons do represent a consolidated story, and have a proper series finale, only to return some years later with a sequence of seasons all dealing with a new plot arc. (I can't think of a decent example, though.)