But when you do this, you're dragging a _single_ color.
_All_ the colors are in the capsule, but you can only truly pull a single one at a time, a true pigment-like mixing isn't possible. If you pull the Cyan up, you're necessarily losing the Magenta, for example.
If you had a high enough resolution addressable grid, you might be able to put the pixels close enough that you couldn't tell, but you'd still be basically doing sub-pixel color at that point, not truly mixing the various colors at the base level.
Maybe there are other e-ink displays doing something else, but all the ones I've seen are doing some form of this approach.
Here's a fascinating video on how these displays work, and how you can modify the firmware of the driver to get faster refresh rates (with an increased risk of burn-in). https://www.youtube.com/watch?v=MsbiO8EAsGw