Changing distro is not going to change your hardware. It is still the same CPU and the same GPU. As long as your drivers are working (eg OpenCL is setup correctly), it should not have a performance difference.
I am not familiar with Cachy, but how your distro optimizes packages, especially if they are on the critical path of darkroom processing, can make a difference. When dinosaurs walked the earth, at some point I switched from SuSe to LFS (where I rebuilt the whole system from sources from the ground up), and the difference in overall responsiveness was very noticeable.
However, as others correctly stated above, generally you don’t notice a great difference if you swap one general purpose distro for a different one.
Learn more about the distro and try to understand what they do differently, and if it seems to make sense for your use case give it a try.