So far I haven't found any information that other ear pads would fit into the Corsair click system. Take a look at Reddit, where there was a tutorial on how to 3D print an adapter that would fit the ear pads of other click systems.
I made it easier: I unclicked the Corsair ear pads and fixed the Shure HPAEC550 ear pads with tape. Works too, but probably won't last as long.
Shure HPAEC550 (SRH550)
After initial tests, I (w, small head) am now satisfied with this variant.