Without diving into fandom drama, what's the main objection to Rings of Power? My understanding is less "changes because TV show" and more too many changes to the point of "just call it something else." Yes? No?
The problem starts with the show not having full rights to all of Tolkien's literary work, so they can't use certain characters for example. This leads to some, let's say creative, choices by the showrunners that didn't sit well with the purists. The other is that the book this is based on spans thousands of years of history and there's periods of hundreds or even thousands of years where nothing remarkable happens other than certain characters leaving the story due to the massive time jumps and others come up.
In TV production reality following this closely and word for word would mean exchanging main casts almost completely every season and sometimes mid season, which is just not practical in a show production environment. To solve this the showrunners compressed the timeline, sometimes extremely, and it appears all of the main storyline happens within a few years at most - strike two for purists.
Strike three would be the addition of new characters with their own storyline, sometimes contradicting later comments by Tolkien though "scholars" disagree because Tokien didn't flesh out big parts of the age where RoP actually happens and only gave the broad points, so the showrunners got creative again for the sake of their own show.
So it basically boils down to purists wanting the written words of Tolkien translated word for word to the screen while others are ok with what happens because the show tries to focus on the spirit and broad events of the larger story at play. It's an age old discussion between purists and people comfortable with adaptations and changes. Hell, LotR did change quite a few bits of the book, leaving out several characters, rearranging some storypoints to happen earlier or later than in the books and even then, 25 years earlier, the same discussion happened and LotR is still regarded as one of the, if not the, best fantasy movie of all time.
Up for anyone to make a decision for themselves. I know the book source, love it, but i also believe that a 1:1 adaptation of it may have failed spectacularly, so i'm ok with the changes and additions/ommissions, because to me it still feels like the magical world Tolkien wrote about with larger than life characters and events fighting the everlasting battle between good and evil.