Bob wants to teleport a AA battery to Alice. Let pretend for a moment he has a magic wand and just does it:
When the battery disappears out of Bob’s hand, and at the same time appears in Alice’s hand; from Bob’s view point, the battery has disappeared, and has not reappeared yet (as the light bouncing off the battery hasn’t had time to travel from Alice to Bob since the battery was teleported); so if Bob was to reformulate the laws of physics, he wouldn’t deduce that energy is conserved (a battery just disappeared!).
Now from Alice’s perspective we get the opposite: Alice sees the battery in her hand, and for a tiny fraction of time can still see the battery in Bob’s hand. In Alice’s world, batteries don’t disappear into thin air, they appear out of nowhere. Just like Bob, Alice will find that the laws of physics don’t conserve energy.
If you believe in the conservation of energy, then teleportation (at least like it is done on Star Trek) is impossible.
This is why they give you the bait and switch in these kinds of articles; speaking like it is Star Trek, then back-peddling to the movement of information when questioned about it.