Even though the swatches are the first window I close out, I support a way to clear out the swatches. I don't support loading and saving of swatches because I'm not sure if it would even be possible.
I don't think the Oekaki interacts with the user's machine in any way. Everything is stored server side, which means the swatches would need to be as well. I don't think the code for it can do that, but only Nick would be able to say. Chicken paint is already a port as is: