ALT attribute is currently entered via the description field when adding the image as a component. However, for accessibility, the ALT should be contextual.
On one page, the image may be communicating one thing, but on another page, it might be used to communicate something else, or be a decorative image. This is especially true if the image is a link.
Rather than duplicate the same resource (image) just to have different ALT text, it would be far more efficient and better for accessibility to enable a default ALT text but then be able to override it when inserting the image into the page via the WYSIWYG field (or even in another area).