Even though most of the skills crafters share are the same (such as Inner Quiet and Great Strides), the game considers the skills different for each DoH class. Example: LTW has Great Strides, and WVR has Great Strides, but the game identifies LTW Great Strides and WVR Great Strides as two separate skills. If you placed WVR Great Strides on a shared hotbar, it will not work for LTW. And visa-versa. Same apples for all the other basic crafting skills. Just look how each Basic Synthesis has a different icon depending on the crafting class you're using. That's because, technically, they're different skills.