my answer to these kinds of questions is almost always the same. whether life is worth living or not can only be determined by you. that's not something that other people can determine for you. no one can really decide if a group of people are completely doomed; it's up to the individuals themselves because people are so drastically different, no matter how similar their situations are.
anyways, i'm not schizophrenic, so i can't really offer you anything on a personal level.
i knew one schizophrenic guy in the past. he was a complete mess; attempting ctb all the time, but failing because he wasn't even in a stable enough headspace to think out the attempts, being an overall really deplorable (abusive) person, subtance abuse + other addictions, too paranoid and depressed to do anything other than stay in his room and crash out at everyone he knew. i only knew him online, but i knew his irls too. according to everything that i gathered from them, he was a lot worse irl. legitimately just fucking deranged. all but one of those irls dropped him (understandably so) and he had almost no one except for me and maybe 2 other people.
fast forward, he's doing really well now. we sorta drifted apart after some time, but i still talk to his partner occasionally. idk any specifics about how he's doing, but last time i checked in on him, he was in university, in a relationship, healthy, and working towards his dream career.
of course, he's just one person. he was born rich, so he already had a huge advantage from the start; but he still did make big changes on his own. i was there when he began to improve; it was really frustrating and exhausting to witness, so i can only imagine how painful it was for him, but i guess it all paid off.
no matter what you decide to do, i hope you find peace. feel free to reach out if you need anything. again, i can't help you on a very personal level, but still. i can still contact that old friend, maybe he could say stuff that's more helpful.
i'm sorry you're dealing with so much pain, i'll be wishing you the best.