This question came out of my previous question Are Sesame Street Muppets human? and how it raised questions about the exact canon under discussion.
When I was a child, I always assumed it was obvious that Sesame Street and The Muppet Show took place in the same universe. Sesame Street Muppets such as Cookie Monster semi-frequently guest-starred on The Muppet Show, and Kermit the Frog was a main character in both shows.
Has the canonicity of Sesame Street and The Muppet Show with each other ever been officially addressed? That is, do they canonically take place in the same universe, or do they simply take place in similar universes that might or might not differ in specific details (e.g. maybe Mr. Hooper either never existed or is still alive in the Muppet Show universe)?