While the points you mention are valid, I think it's more complex. Everybody has some part in one's development and ongoing, true, but just to a certain extend. If you're never taught how to learn, how do you learn it?
I also don't think that Gen-Z has the most psychological issues, but that the stigma of addressing those is finally disappearing and treatment is actually encouraged. Basically everyone I know here from the Boomer Generation has a lot of psychological issues - they just don't address it, because they have to "suck it up" as they were taught to. There is SO much PTSD from several war around me, it's not even funny. People in their 70s checking out the exits when entering and things like that. But they don't talk about it.
My generation is full of psychological issues. But we were told that we can achieve anything we want, that we're totally free, and with that comes total responsibility - so those issues are our own responsibility. Everything is our own fault, and we have to change ourselves to be better all the time. And not a "better" that was meditated on, though through, cautiously selected. No, the "better" that society told us to be. More productive. Better parents. Better humans. Better parts of society. Smarter. Read more. Healthier. Again, not for the sake of being better in itself, but to be better for the system.