The keyboard is symmetrical about D and Ab. I have used this for years as a technique builder on the Virgil Practice Clavier. You don't need special studies, just make up anything. Trouble is, the keyboard is not mirror-symmetric with respect to sound or its musical implication, with one of the two figures usually sounding a lot more vital than the other. Aside from that, I am not convinced that the musical sounds which interest me most require precise symmetry of technique. I don't know about other people but the way my fingers strike in the lower registers is often not quite the same as they do higher up. I find it all very complicated.
As a purely physical exercise though, yes, no harm done - provided I don't have to hear it.