This is the "duty of care" that universities owe employees, and students
check that all electrical equipment is maintained safely
provide PPE in labs when required
Use a properly trained gas fitter
etc etc etc etc
Beyond that, what is required between employer and employee - but students are not employees
Again, if I go for a hair cut, I should expect the saloon owner has maintained the electrical equipment safely, supplies PPE for any strong chemicals that need it, has used a properly registered gas fitter, etc
I can tell the hairdresser anything I want about my mental state, it isn't her business, it isn't her problem and it isn't her duty to respond
Just imagine the red tape nightmare if hairdressers had to assess the mental health of every customer, and respond in some way
Hair salons would be shut by administration overload within a few days
That would also happen to universities
I think universities have to some extent started providing more support services in recent decades, but this is voluntary, and in this current climate, with pressures like this put on them, they are far more likely to cut back and shut services, because rather than being something the offer for the possible benefit of some students, it is going to be something they are held accountable to, to a totally impossible level, which could cause them so much trouble
The logical thing to do in those circumstances would be to withdraw all support services and keep them closed