The image is correct. The information is sent over a classical channel, not using entanglement.
You can not transfer the state of the qubit over a classical channel. You need both a classical channel and entanglement. Or in other words: a bit can be send over a classical communication channel (by copying it), but to transmit a qubit (which can not be copied due to its quantum nature), you either need to carry the physical qubit over, or use entanglement together with classical communication.
Plus we get to keep cause and effect ordered, as a little bonus.