If you were to define your own custom workspace - containing only your most often used tools - then they would be displayed when none of the category filter buttons are active … This provides a very flexible user-interface.
I find the current classification unintuitive. Red eyes and clone/repair are local corrections that the user has to place over the image ; in that sense they are similar to the plain “local settings” (using control points, the paintbrush and the gradient tool).
The red eyes and clone/repair tools are local in action whereas “sharpening” or “denoising” are global.
I could argue that red eyes and blemishes to be removed are “details” of the photo, but you are not wrong to say they are local to areas of the photo chosen by the user, where all of the other “details” tools are not.
Which is to say I think I see how they got there but I agree they should move.