You think that the 10-1 etude is similar to the C Major prelude from WTC I? Try playing the Chopin opus 28-1 C Major prelude slowly and without pedal and then compare that to the WTC prelude.
It is said that this etude was based on the Bach prelude. See here: https://www.chopinmusic.net/library.php?w=Etudes#10-1
Haw about Bachs prelude in c minor WTC 1, its similar to the ocian etude 25/12, the harmony is anyway.