Even in more densely populated areas there were blank channels you'd flip through, and where I grew up there were only two channels that came in most of the time with another 1-2 that'd briefly become available at certain times of day or during specific weather where atmospheric conditions boosted the signal strength of those stations.
Very old TV's did not have memorized channels, and so you had to tune to find the next channel, which would give you a progression to static and back.
Then TV had a memory for the channel frequency. It would switch instantaneously the video. So fast that sometimes you could see the first frame in black and white. Then color info would come (color TV is atop of black and white and spread over frames if I recall). Then mono sound would come in. Then stereo (like color, the stereo signal is an augmentation). Still all of that faster than any modern technology.
Then came digital TVs (still receiving analog TV signal) which could have a second or two of digital lag during channel change, but it wouldn't display static, simply a blank (dark) screen.
For example, in my area, the main stations were at 4, 5, and 8. Switching from 5 to 4, I'd see no static because they're adjacent. Switching from 5 to 8, I'd see static while the knob was at 6 and 7.
The 60s, 70s, and 80s TV sets on the site are the style I'm talking about. The 90s and 2000s TVs aren't.
The best way to do it would be to use different transitions depending on the style of TV depicted. But the way they did it is not wrong for all analog TVs.
https://upload.wikimedia.org/wikipedia/commons/c/cc/VHF_Usag...
2, 4, 6, 8, 10, 13, and UHF 30.
I also remember that depending on the radio, you could sometimes pick up the audio for I think VHF channel 6 at the low end of the FM dial.
Ahem. In the 80s I remember struggling with a set my grandparents must have bought in the late 60s to try to watch TV. It was like holding a seance for sitcoms. I expect plenty of people were still watching TV in the 90s on sets sold in the 70s and 80s. Maybe not the majority, but I wouldn't assume "everyone" had the current goodness.
My teen complains about special effects in MCU shows sometimes. I'm like "I had to watch a bodybuilder painted green for superhero shows, and like it!" (RIP Bill Bixby...)