I think much of the problem with Star Trek from 2009 onward stems from the fact it's designed to NOT be canonical with the previous iterations of TREK. The Kelvin timeline was established specifically to free the franchise from canonical storytelling. So...to answer your question, yes, I don't consider any of the current iterations of TREK to be canonical. The Rick Berman era of the franchise...18 years and 25 seasons of Trek, began with Berman working directly with Roddenberry, and even after Roddenberry's death in 1991 up through the end of ENTERPRISE, he was trying to maintain the ethos established way back in the original series. The current stewards of the franchise don't have that connection to the "soul" of the franchise, and aside from paying lip-service to canon, there's not much evidence the modern shows are at all canonical.
First off, let me be clear that I have no idea who you are, but your opinions here at the TrekBBS are just as valid and welcome as any other member here. Second, I tend to agree with what you've stated above, other than a quibble with the word 'canon.' There's no doubt that Star Trek: Discovery, Star Trek: Picard, and Star Trek: Lower Decks are all canon to the Star Trek universe. Whether they take place within the same
continuity, however, has always been debatable. It comes down to two schools of thought:
1. The only way these shows and movies can all possibly exist within the same universe is if every single aspect of them, from the biggest to the smallest aspect, are in 100% continuity 100% of the time. If they aren't, even by the smallest measure, then they're incompatible and therefore must take place in a different universe.
2. It is simply impossible to expect over 50 years of shows and movies to maintain such strict and total continuity; therefore mistakes will be made but that's just the nature of life, and all these shows and films reside in the same universe.
Let me give you an example of this. In M*A*S*H, Colonel Blake's wife's name was Mildred in the first season. By the third, her name had changed to Lorraine. Does this mean that the first season and the third season take place in two alternate universes? Of course not. It's just a changed premise. It happens all the time. Star Trek is no stranger to it. Just because you (like myself) do not like how drastically things have changed from what came before, or because of an arbitrary judgment that the current people in charge do not have the same appreciation or 'soul' if you will, to the franchise, that doesn't mean that it's not a valid interpretation of the material. It's just an interpretation that you don't care for. I've never liked Star Trek: Enterprise, but like it or not it's part of the same continuity as all the other shows.
I personally like Discovery, but I also think it fails miserably as a prequel to TOS. But that's just my opinion based on my own personal tastes, and I don't expect others to agree with me. But I'm not going to lose sleep thinking that Gene Roddenberry is rolling over in his grave because some new show isn't up to par with what you're judging his reaction to it would be after-the-fact. And I've given up on any expectation that TPTB will ever create a show that suits my personal tastes of what Star Trek 'should be.'