Broadly correct. Differing Muslim cultures had different approaches to the problem, we generally consider Persian miniatures to be well-painted (though without

Broadly correct. Differing Muslim cultures had different approaches to the problem, we generally consider Persian miniatures to be well-painted (though without perspective), and they typically just make a token line through the throat of human subjects to suggest they couldn't really be like the drawing (the prophet Muhammad is generally shown with only a glowing face without features to avoid even coming close to the problem of poorly representing him). Of course, it's no coincidence that visual arts in the Islamic world took patterns (which we still call arabesques) to very high level, and also calligraphy, as they don't have any representational worries.