... I know the name Carcer Dun but I'm forgetting... Is he the one who travelled back in time and tried to mess up Ankh Morpork history?
And the phrase "Wounded, wronged" raises all the alarm bells. Original flavor Carcer was a bastard, sure as sure. He tries to play the wronged man, but Vimes doesn't give him an inch there. Carcer is a flat out monster, the kind of man where you feel the sun shining just a little brighter after you hear that he was hanged. Making him a righteous avenger who goes too far ignores the whole point of the character.
And he isn't alone on that list. I mean, some of it may just be a bad press release, and some may actually work in practice, but there's a lot changed from that description, and it all sounds bad. Sybil in the original would never be a vigilante. Just not done, you know? She's more the barge in through the front door and start loudly ordering people around type, the kind of person who uses her place in the system to do good instead of the kind of person who feels the need to get outside of it.
(Which is thematically important, as the whole keeping within the law bit is important to the Watch books, contrasting with Moist and Vetinari's fast and loose play.)
Even things that aren't necessarily bad, like Angua being more veteran than Carrot, put me on edge. Colon, Vimes, and Nobby being The Old Guard (with Carrot as the tipping point) is vital to their dynamic. Giving Vimes a competent right hand before Carrot shows up to drag everyone out of the gutter is a tricky thing to balance. (In addition, Angua arriving later makes it much easier for her and Vimes to feel distinct. If the old guard has two decent-but-cynical veteran officers who need to relearn idealism from Carrot at the same time... again, tricky.)
Moving on to broader strokes though, and leaving aside casting for the moment (Skinny Sybil. Just... skinny Sybil.) people talking about how Pratchett's stuff was political are kind of right and wrong at once, and ignoring the trick there would mean the show going very wrong. See, a cool bit in the Discworld stuff was that Pratchett didn't do real world issues, at least not when he was on his A game. He did similar-but-distinct issues, allowing people to set aside their normal prejudices and allowing him to get into the nitty gritty instead of just saying that thing X is bad repeatedly. For an easy example, Vimes can be racist against Vampires and still be sympathetic in a way that he wouldn't be if he was racist against a real world ethnic group. It generally felt like Pratchett examining an idea rather than just lecturing the reader, even if he had clear opinions on things.
A lot of modern fiction (not naming names) feels like it's just trying to score points by showing how On The Right Side they are, which makes for bad stories.