Those are all arguments for why assisted suicide is preferable to non-assisted suicide. They are not arguments for why assisted suicide isn't suicide.

If someone wants to say, "I think people who want to commit suicide should have a legal pathway to commit suicide," they're entitled to their views. But if they say, "I think that assisted suicide isn't a form of suicide" then they're lying, both to themselves and others, and I think it's interesting to pursue why they feel the need to do.