I have a different experience. Perhaps that's a cultural thing, but admitting to a manager that I was having mental health issues only made things worse and was

I have a different experience. Perhaps that's a cultural thing, but admitting to a manager that I was having mental health issues only made things worse and was certainly the biggest mistake I ever made in my career. I didn't get fired, but it became impossible to solve issues, as every single (legitimate, I swear) complaint or request from me was chalked up to "you're depressed". But your point still stands 100%: it's not on the employee to solve all work-related burnout-inducing issues.