I'm not convinced it is useful to think of hand-drawn maps as being made of data, or any analog maps as being made of data for that matter. There was an era in the 1990s when entry-level GIS primarily involved 'digitizing' and 'georeferencing', which just means tracing lines to make 'data'. Out of deference to those brave foot soldiers who produced a lot of the 'data' we rely on today, I stand pretty firm on computer maps are made of data.