So do I. It's all the same universe.
Listen, you can reinterpret a text any way you like. A really extreme example of reinterpreting a text to mean something new is this: there are people today who will look at a text like The Taming of the Shrew and use nontraditional casting and new acting choices to turn it into a production that mocks misogyny and the gender binary. But that's a reinterpretation; on its face, the original text is blatantly misogynistic and supports the gender binary. That's just what the text is, plainly. Attempts to reinterpret it inherently mean subverting the plain meaning of the text.
You can reinterpret Star Trek: Discovery, Star Trek: Picard, Star Trek: Lower Decks, Star Trek: Prodigy, and Star Trek: Strange New Worlds as being in a different universe if you want. That's your prerogative as an audience member. But your personal reinterpretation is not the actual text. The text is what it is -- and it's all the same universe.
Absolutely not. Scary Movie is mocking Scream, not paying it loving tribute. Lower Decks pays loving tribute to Star Trek rather than mocking it.