Earlier quoted context omitted.
Euthanasia is killing somebody out of "mercy." It does not require the agreement or desire of the person being killed. It is definitely a step beyond physician-assisted suicide, and the two should not be confused or used interchangeably, though both are morally repugnant.
Either your country is handling assisted suicides in a terrible way, or you don't really know what you're talking about, as rude as that makes me sound. Especially "It does not require the agreement or desire of the person being killed" is absolutely, 100% false.
That's called euthanasia, not physician-assisted suicide. And if we can't acknowledge the difference, we are opening ourselves up to allowing what I described because we already allowed "euthanasia," when in fact what we really allowed was PA-suicide. The fact that both are murder in a moral sense doesn't change the necessity of distinguishing between them.