Well if you use narrowband colour filters (or light up the sample using narrowband LEDs) and refocus every time you switch, then you could eliminate chromatic aberration completely.
You would have to slightly rescale the image for each colour but that is not impossible.
Sounds like a tradeoff between processing time and image clarity / cost, same as computational photography in smartphones. That looks like a win to me, hopefully we will see innovations in this area so cheap microscopes with great resolving power becomes available to the masses.
One problem in amateur astronomy is that people love spending money on expensive gear (like hifi audio nuts) and they think software is hard. So they sneer at technically complex solutions even if they end up cheaper in long run.
I assume microscopy has the same problem. Why make it cheap when you charge thousands of dollars for selling a top optical quality microscope?
I could be wrong. Haven’t tried it yet. But I haven’t given up on the idea yet.