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Lol no, Canon is literally by it's very nature a fan concept. As I've explained countless times before, the entire concept of "Canon" comes from religion with literally just people throwing out and accepting whatever part of scripture or myth they wanted to believe, this is why you have dozens of different forms of Christianity, numerous forms of Islam, countless forms of Buddhism etc.
Canon is 100% a fan concept. You can see numerous times throughout Star Trek from TMP to Discovery, that the creators of the show, do not care about "canon" as much as the fandom. Most creators just want to tell their story in that universe and "canon" can easily be broken if it gets in the way of the story.
When CBS say "Everything is canon" then how do you square the completely contradictory information within Star Trek lets be real, every couple of episodes? You can't the entire thing breaks down. Thus Canon really only is what fans deem what is worthy enough to discuss and since we're all fans, really Canon literally only matters in what people here think is worthy of discussion.
You only need to look at the current Harry Potter fandom to see that Canon is literally not what the creator says and that the death of the author is a very, real concept. Star Wars as well, the entire fanbase has split and there is now literally two different "Canons" depending of what part of the Star Wars community you are in.
The idea that producers decide canon in any meaningful way is laughable nonsense and has zero basis in material reality.
Why not? Should a prequel only be done using the techniques of the the original show?
The problem really is that Discovery is just too different. Aesthetically to tone to "canon" it's just such a wild departure from what you would expect in that era of Star Trek. If Discovery was set during the TMP period, I suspect people would have far, FAR less issue with it from a "canon" perspective.
Also there is no reason they couldn't update the TOS aesthetic with modern technology, design and engineering without losing TOS design language. Honestly Discovery just looks frankly "bleh" from a design standpoint, it looks so generic and bland, literally look at scenes from Mass Effect and Discovery side by side and you can tell what was the major driving aesthetic influence on the show. (even the uniforms are almost 1:1 taken from Mass Effect).
Again as I've explained countless times, mid 20th century modernist design is still extremely futuristic and stylish by current standards, Ikea has built a global brand on it. It is frankly bizarre that they didn't even attempt to build on that design language for Discovery, I would assume it would be nearly every designers wet dream to do so.