I remember why I was thinking things weren’t wired properly when switching from Animation to Animator… The area in Settings which showed the clips was empty and there was an error message that there was no action associated. I played with this, trying to fix it and couldn’t. I’m guessing that at this point I could have deleted the animations and recreated them from scratch and this might have fixed it, or, there might have been another way to get this fixed that I wasn’t able to find, but it seems this was at the heart of the problem. 