Played some more this afternoon. Firstly, I had a go in two-player, working though some of Episode IV. My wife was player two. And, there are problems. Not with her, but with the camera forcing one or the other player to be pushed into holes, or behind or under things preventing either player from progressing. In all, it was pretty hard work just to get to the end of the second chapter.
Later, I played through the rest of the Bounty Hunter missions. Managed to complete the remaining nine missions in under 20 minutes in total, so they weren’t exactly difficult. Got two more achievements for my trouble, though.