Yes. (Well technically you need 3.20 or 3.33 for 1080p60, and HDMI 1.0 supports 3.96)

> Lightning is 480 Mbps. The bandwidth isn't there according to how lightning was designed.

Not true. Lightning has two differential data pairs. The port can do much more than 480 Mbps.

If your response to that is "oh, but it's only connected to pins that do 480", they would have to reconnect it to video pins anyway to do HDMI out. And nothing else in the lightning ecosystem would limit it, because this is a directly-attached adapter.

Also some of the iPad Pros have actual usb 3 support on their lightning ports.