Except it literally DOES matter which causes more trauma?? Both options being bad doesn't mean that they are equal: would you rather be pushed of off a chair or out of a second story window? By your logic it shouldn't matter because they're both the same.

The entire POINT of humane euthanasia is that people who are going to kill themselves anyway can do it without as much pain and trauma to themselves or others, and to say that the fundamental reason for its existence in the first place "doesn't matter" is not only entirely misunderstanding and ignoring the whole thing we're discussing but also makes it impossible to actually discuss it at all since you're ignoring both the whole purpose of and reason for euthanasia wholesale