"The teleporter to Mars does not kill you in the most important sense (unless somehow your location on Earth is a particularly core part of your identity)."

My location on Earth is not a particularly core part of my identity. If I traveled to Mars in a space shuttle in several months, I would still consider myself to be the same person.

But my being able to experience what my body is experiencing, or what replicas of my body are experiencing, is a core part of my identity—perhaps the core part of my identity, personally.

If I teleport to Mars, do "I" get to experience what that body then experiences on Mars? If not, then yes, I would consider that teleporter to be a suicide machine.