The established canon for the Kelvin “timeline” is that it is in fact actually an entirely different alternate reality:
That is not the way it appears in Star Trek 2009.
That is exactly how it appeared and was intended to appear.
That is not the meaning I got out of Star Trek 2009.
Just because you did not interpret the intended meaning, that doesn’t mean it only means what your interpretation was. You do not seem to leave any room for the possibility that your interpretation of canon may be wrong; and because canon is apparently so important to you, you argue why it must be what you say that it is.
Now, you can have a headcanon where, to you, Star Trek Prime does not exist. But what you are doing here now is arguing what the official is, in which case your interpretation doesn’t matter, but rather those of the creators of Star Trek. You have been given a boatload of evidence to support that the Prime Universe still exists despite the events of Star Trek '09.
What matters is whether the official canon matters to you (“you” meaning the individual viewer, not just you Warbler). If the official canon matters, then you must seek out the official intent of the canon. If it does not, then you can believe what you want. Regardless, your opinion regarding whether official canon must be observed does not impede me from having a different opinion. As it stands, my headcanon says Discovery is not part of the Trek Prime Universe; and Padme Amidala does not die during Revenge of the Sith.
Again, official canon regarding fiction is not Truth. It is not absolute. And besides that, my understanding of the Truth of my faith is that nitpicking the details in even that regard is missing the point (the point being fostering the relationship, not the adherence to rules.) So either way, your want to enforce your own interpretation on others is unfounded.
tl;dr: Stop arguing about why your interpretation of official canon is valid. If official canon matters, then correct interpretation is not up to you. If it doesn’t, then it is only up to you for your own sake and not for ours. You can’t say Prime doesn’t exist and both use official canon to argue your point, while using your point to argue official canon.