A live camera feed and IA's page turner exists. Would live streaming the feed work?

No, that's making a copy. Several copies, really, and distributing at least one of them.

How about I use a mirror and a lens and fancy fiber optics to do the same thing with no computer involved?

It does exist, it's called FPV arm robot. Drive around the library, take books from shelves, open them, turn pages, read.

Would be curious to try this because the "ebooks don't wear" argument won't apply.

That doesn't solve the fact that the robot can't do the reading for the user. It takes a picture (makes a copy of the page), then sends a copy of that data to some remote user (distributes an infringing copy).

There was a company that allowed customers to rent DVD players, robotically inserted disks into them and transmitted their video output over the internet.

This was ruled illegal.

The letter of the law isn't the real law; the real law is that you must pay money to large media corporations or else. We now have two instances.