I agree with Star Jasmine that if the corrosive environment of job seeking is getting you down to the point of thinking of killing yourself then trying this alternative at least seems logical.
Mind you that is only part of the story,
Learning coping skills to help you get through tough times, not just no-job, is essential. And if you are like me professional medical help is very necessary. May I suggest that if you have not already done so you see you GP? Talk about your thoughts of killing yourself. A difficult subject to raise - I know - however to get the correct treatment it needs to be done.
In passing I'll say being without work is a horrible place to be in and human nature being what it is there is an overwhelming need to blame oneself. Utter rubbish of course, it is location, lack of jobs, too many needing them, and all the other pitfalls of modern society.
If I look at my own feelings at a particular job I think one of my major mistakes was not having an exit strategy planned and the whole thing being open ended with no seeming possibility of stopping. This creates huge pressure, one gets trapped.
I would suggest that you plan so that so that if you take the job and things are getting harmful you have already decided to leave - and do so. It just needs a pre-determined set of circumstances to occur.
As an example if when getting the job thoughts of suicide go away but later on start to recur then quit. Try to get a medical opinion to back you up, but quit - and don't take too long hoping you can soldier on, it is not worth it - that was a mistake I made.
Having said all that I do worry that the job might be unsuitable. If the employer stresses self-care so much right at the outset without also stressing comprehensive in-house resources to look after staff and an employment screening service I'd be very wary.
Please let me know what you think