Well, obviously they don't do it on purpose.
If someone really is at their "breaking point" you could say, every second will further torture them, and make it even worse, it'll all be living hell.
If your family would want you to stay alive at that point, maybe even put you into a psych ward, they don't really care about your feelings, they will only care about how they themselves will be affected by it, about how they would feel bad, probably making you wanting to die even more.
So I'd say go for it, all of my perspective is from outside anyways, do what you want, if you actually care so much about your family and further willingly stray into the fire until it'll burn you into the ground while feeling all the pain, do it.