I'm not quite sure why you aren't getting this. The view of the Earth that each pixel has isn't separated by the same distance as their separation on the sensor

I'm not quite sure why you aren't getting this. The view of the Earth that each pixel has isn't separated by the same distance as their separation on the sensor. Do you agree with that? The important part is that it's also true for the different color lines as well. That's what I'm trying to explain. The view of each color line may traverse 1mm for every 1mm the satellite moves in orbit, but that has nothing to do with the separation of the lines. The important thing is that the view of, say, the green color line will not be identical to the view of the red color line when they are at the same relative physical position in orbit (e.g. a fraction of a second apart in the orbital motion) because the view of each color line is at a different angle through the optics. And because of that the portion of the Earth that each line is viewing at a given time is separated by a considerable distance, and there is then a considerable time separation between when a given spot on the Earth is imaged by each color line. My other examples are trying to provide hypothetical scenarios to help get you to understand why your preconceived ideas about how push broom scanning works have important gaps, they're not meant to explain how things work in this particular example.