Are they at risk of copyright infringement? I thought I'd seen the rights reverted to Burke himself. At one point I had a youtube subscription to a channel of all the episodes that was posted by James Burke. Felt like his interest was in making them permanently available, not in making money.
It's possible there's something exceptional about Connections, but in general there's a lot of copyrighted material on there. It's a real problem if you're looking for genuinely public domain stuff. I'm not sure how archive.org would go about fixing this though.