Screenshots not totally lined up, but c'est sera, c'est la vie,,,
"I just checked, and it turns out I was incorrect"
Not really, as it is more about proximity and atmospheric distortions... so just a matter of perspective, pretty much. I was merely correct[-ish] in the specific way I had addressed the OP's statement. You can say I was incorrect as well:
"Planets shine more steadily because … they’re closer to Earth and so appear not as pinpoints, but as tiny disks in our sky. You can see planets as disks if you looked through a telescope, while stars remain pinpoints. The light from these little disks is also refracted by Earth’s atmosphere, as it travels toward our eyes. But – while the light from one edge of a planet’s disk might be forced to “zig” one way – light from the opposite edge of the disk might be “zagging” in an opposite way. The zigs and zags of light from a planetary disk cancel each other out, and that’s why planets appear to shine steadily.
You might see planets twinkling if you spot them low in the sky. That’s because, in the direction of any horizon, you’re looking through more atmosphere than when you look overhead.
If you could see stars and planets from outer space, both would shine steadily. There’d be no atmosphere to disturb the steady streaming of their light."
https://earthsky.org/space/why-dont-planets-twinkle-as-stars-do/
(source of the screenshots as well)