Definitely, this is the problem with two of the clarinet pictures. They do the same for one of the alto saxophones (just one; the other's fine) and the soprano.
I have done some reading and I know that you could get clarinets with "reversed" left/right hand fingering, even up through the first several years of the Boehm system, but I don't remember seeing any horn less than 100 years old like that. I also look at Selmer's e-mail and think, "Gee, Selmer, you could have afforded a photo session rather than buy pics from Shutterstock and have someone alter the images with Photoshop."