The victim isn’t at fault for being depressed, or having a mangled hand, or whatever analogy we want to use. However, if they go out with friends and expect them to take the problem more seriously than they, themselves, are taking it, then they have some measure of fault for imposing their problem on the friend. If they are seeking treatment that just isn’t working, or they are unable to get proper treatment for other reasons, that’s a different story and I’ll have a lot more sympathy.
It all boils down to not expecting someone to take your problem seriously for long if you are not taking it seriously yourself.
“You don’t take your depression seriously enough for me” helps me to understand where some people who don’t understand (or don’t care to understand) depression at all are coming from.
Maybe the real lesson is that a mangled hand actively gushing blood isn’t really a great analogy for depression.