wp-Typography does not have access to HTML stored in your theme files. It only has access to the content passed to it (i.e. post title and content); it is unable to determine the greater contextual awareness.
If you try to filter processing based on a class of the body element — as an example — nothing will happen. wp-Typography does not see the body element. wp-Typography does filter by HTML element, class or ID for any markup present within the parsed content. So if you do not want class noTypo processed, filtering will only occur within the title or content of your post or page.
