I saw that last night and thought about you. I bet the cat fell off the TV when you screamed "there it is!"
This Twilight Zone was first broadcast in July, 1960 and was the last episode of the first season. Hazel didn't start until 1961. Also imdb says this TZ episode was filmed at MGM studios and Wikipedia says Hazel was filmed at Columbia. So it could just be coincidence or some good product placement by Zenith.
I've been watching TZ off and on since I was a kid in college in the late 1970s and I had never seen this episode, so it was nice to see it and the Zenith stereo. I attached a pic I found online showing the Zenith.