Yes but that's not the kind of change we're talking about. For instance, if one wants to be a huge purist, the Enterprise Bridge in The Cage is essentially the same as in regular TOS, with minor alterations, while the one in DSC is completely different (and much larger) but is supposed to be in the middle of the two, and then changes quite a bit for SNW. The Enterprise also can't be the same ship because it's so proportionally different. We ignore these, not because they are particularily possible, but because we ascribe them to out-of-universe changes, while for some reason the ethnicity of an actor is very important.
I don't they are seen as that important. Except from the usual Youtuber suspects. I just think people see the changes happening in a different universe from the Prime as a sort of in universe reason to explain it. Comes down to how important people feel the need to tie these new shows with the old shows vs simply letting the new shows stand on their own with a new timeline with it's own shared continuity that is different from the old shows shared continuity.
I think the big issue is more with CBS. I feel like they are afraid they are going to loose tons of old fans if they don't say everything is in the prime universe because they think fans will then find these new shows as not legit if they are not connected to the old stuff from a continuity angle. They clearly want to do new stuff, these modern shows but they are still kind of afraid of letting go of the Prime Universe tether.