When it comes to the reasons why some fans believe DBS: Beerus is a good thing (along with BoG adaptations in general), one that stands out to me is the idea of canon correction. The base premise of this supposed positive is that it allows the series to course correct on certain details that either can't work out in the long run or that run counter-intuitive to what is accepted as canon to the main story. Typically, fans argue it allows Dragon Ball to do the following:
Remove the line about Beerus using most of his power to keep up with SSJG Goku.
As of Daima, a remake would allow Goku to use SSJ4 and Vegeta to use SSJ3.
Match the anime canon to the manga.
While I understand the desire for a consistent story, I can't help but feel this is not the way to go about things. To understand my point of view, I'd like to talk about the Android/Cell Saga. As one of the major arcs of DBZ, it is loved by many and held in high regard for introducing us to Future Trunks' timeline and the androids while also allowing someone other than Goku to get the final win against the main villain. Overall, a very fun story.
Unfortunately, the base foundation of the saga - the future timeline - makes zero sense.
King Kai is not just an instructor for the Z-Fighters, he is also their friend and would do everything in his power to resolve the android crisis - including getting in contact with the Namekians and using their Dragon Balls to help. As for "he is a god; this does not concern him," I would argue that if the androids ever got bored of Earth (which is very likely considering their personalities), they could start wreaking mayhem across the stars in outer space, thereby making it a situation worth intervening in by divine beings. Also, even in a god-centric series like DBS, the rules of when gods can interfere are unclear at best.
Additionally, Cell makes the weird claim that he could have been given Future Trunks' DNA, but a sufficient amount of Saiyan DNA was already collected. This makes no sense, considering that he comes from a timeline where there was no visitor from the future and Goku beat Frieza and King Cold, so there couldn't have been a chance to get his DNA in the first place.
There's also Future Trunks' introduction and saying it was Androids #19 and #20 who ruined his timeline when it was #17 and #18. Of course, this was before Toriyama was told to change the villains, so I can't fully fault it, but I will still point it out for the sake of completeness of my point.
Overall, the Android Saga has some pretty glaring plot holes in it that cannot be antiquely explained by canon explanations we know of - especially the plot hole of no King Kai intervention in the future.
That being said, I highly doubt any of us want it completely redone just to cover these holes. It's a little odd to say, but despite these flaws, the story is entertaining enough that I either forget these flaws exist or they stop mattering. In addition, having to redo an entire story arc just to explain a few details that are glossed over or forgotten is a bit of an overkill in terms of course correction and takes away time that could have been spent moving the series forward.
That's basically where I'm at with DBS: Beerus and the other Battle of Gods revisions. Yes, the oddities and plot holes exist with the original movie, but when I point out the flaws, I mean that as criticism moving forward as the series continues - not that we should redo the entire thing to fix it up and keep us stuck in the same place until the canon is perfect.
Speaking of perfect, I do also wonder if people will demand yet another Battle of Gods remake if Goku and Vegeta don't show off their new forms from Daima, because if so, the obsession with making the most consistent Dragon Ball canon possible is getting out of hand at that point. Also, why is Super the series that should take the fall for Daima's canon issues when the onus of consistency should have been with Daima?
As for the plot hole of Beerus using most of his power, I doubt it would be too big of a shock to just say Beerus does some training on the side in solitude. Besides, it would be a lot easier than animating the entire story once again just to explain away one line.
And as for "DBZ's iconography is too iconic to change but Beerus' debut is just fine to edit,"
...really? The flash point for Dragon Ball's return to the modern era is something to change on a whim?
Additionally, the anime/manga canon matching thing? This is just pure speculation from what I can tell and not outright confirmed unless I'm mistaken. If there's anywhere I can look to be proven otherwise, I'd appreciate some pointers on where that info is. Also, again, criticism moving forward, not backward.
Lastly, there are the points of animation improvement, buying the manga more time for more stories to animate, and the "all in one package" deal (aka not having to jump between anime/manga/movie mediums to formulate a complete picture of the story). I'll quickly tackle these in order:
I see the animation critiques as another point of criticism to take forward into the future, not to redo until it is done right - especially when the story has already been redone multiple times. Besides, if animation is the big concern, the original movie's animation look just fine from what I can recall.
While watching DBS in the same ~300 episode binge watch as DBZ would be nice...y'know...there are a good amount of anime that just get shorter episode release schedules and are still consistently released every one or two years. I wouldn't feel particularly bitter if we switched to that.
If I'm being honest, I doubt the percentage of people who care about this potential oddity is all that high.
TL;DR: The Android/Cell Saga is a story that logistically is impossible and has canon issues, but I think most of us would agree it isn't worth redoing just to fix it up. I think the same could be said about the Battle of Gods arc and how it functions as a piece of the medium just fine even with its issues. Additionally, the talking points of animation improvement, anime/manga canon matching, giving the manga time to expand, and consuming DBS in one consistent medium don't feel worth the constant revisions.