Why would you place such limitations on bandwidth? You can transport a human body with a wagon. All cells and all information about them. It seems that the bandwidth to transport an entire human body is there and readily available, there's no physical limitation to stop it from happening. There's no specific reason why an energy beam of unspecified kind wouldn't be able to convey the same information in a different manner.
Besides, nobody says that a transporter has to be beam-based, ephemeral microwormholes work just fine and are much less messy.
Bingo. They've basically just proven that we're not able to instantaneously teleport a human via current technology...which isn't especially insightful.