No, the problem is the slippery slope of "this patient wants to die because their life isn't worth living" to "this patient can't communicate, but it's clear their life isn't worth living, so we should end it".
It’s not your business to determine whether or not a person should live. Why don’t you sit in the corner with people who think it’s their business to determine whether or not women have abortions?
"It’s not your business to determine whether or not a person should live.", as a member of society it sure as hell is. If some woman is suffering from post-partum depression (highly treatable) it's societies responsibility that she get proper treatment and not support for killing herself.
You're so far off the mark I'm not sure where you are.