I don't think Evelyn dying is cheap or edgy. The whole point of the scene with Judy calling for her body to be disposed of was to point out that in that world she is just another random corpse. Only the hyper rich are able to be treat with any dignity, she was a prostitute. I think it was a good way to get this point across. Like I said, I think the writing here suffers from being unfinished. It seems to me that her character development, much like Jackie's has been removed, but her dying in and of itself isn't bad writing.
I also don't really agree that having all what you listed is being edgy for the sake of it or that it is cheap writing inherently, especially given that Night City is supposed to be a depraved place. Now, I will agree that some aspects of these subjects is pretty cheaply written. I don't like the stupid advertisements or the unviewable braindance names. I don't think it is as bad as game of thrones, though I admit the bodycount of characters from the prologue is quite ridiculous, it seems to me that there is a lot missing from the first part of the game. Maybe I am wrong, I don't think the writing in this game is particularly phenomenal and has a lot of issues, but I don't see any inherent issue with Evelyn's character dying. Frankly I thought the deaths of Jackie and T-bug were much cheaper. I mean who the fuck is T-bug anyway? She may as well not have been a character at all. That was cheap and stupid.
Also I don't quite agree with your point about Judy and V not giving a shit. I know that in the actual game you can easily make a lot of money, but Judy clearly is poor and V is supposed to be poor narratively as well. It is a failure of gameplay that you can literally be a millionaire and still have the character act like they are struggling. Red dead Redemption 2 had the same problem and that does gripe me, but we have to go under the assumption that narratively neither can afford healthcare for Evelyn. I don't see what else either of them could have done in that situation as they couldn't afford to give her healthcare. Also from that point on Judy is a severely depressed person and her whole motivation from that point on is to enact revenge on the people that did this to Evelyn. Not the actions of someone who doesn't give a shit. As for V not caring, well I agree that V's character is way too restricted in how you control their motivations and this is a problem I have with the game overall, however just for the sake of playing devil's advocate, why would s/he necessarily give a shit about Evelyn? S/he knew her for all but five minutes and essentially got V killed because of her stupid ham hashed plan, even asking V to betray Dexter. Frankly I can see why V would not care about Evelyn, she had a bad plan that went to shit and her response to V's questions about the efficacy of the plan or the idea about betraying Dexter was 'ah don't worry about it'. She even betrayed the Voodoo Boys, which is hilarious. She tried to screw over multiple powerful groups as one person without any serious strategy and ended up getting crushed by it. I think to that extent, it was very unlikely Evelyn would end up any other way. At the very least I saw Evelyn as a serious hindrance.
I agree with a lot about what you are saying in terms of the narrative design, but I don't think Evelyn's character arc is a particularly egregious case of an bad writing, though thinking about what you said I will agree it is somewhat a case of bad role playing, though CDPR have realised that they failed to make an RPG and have been calling Cyberpunk an action adventure for the past few months.
Frankly I agree with most of what you say, but I don't have a huge problem with the way Evelyn's story turns out at least from a general narrative perspective.
As a side note, I realise now why you addressed me. My original post was directed at the thread starter, not at you, sorry for the confusion.