With embroidery, clients sometimes need to make choices about with what compromises they are willing to live.
One example of this is with designs with curvature and very thin outlines or borders. In printed materials you can effect a very nice curve with pixels that appear to the eye to be a perfect curve b/c the pixels are so small. With embroidery, there are no curved stitches. There are only straight stitches that are small, but not invisible to the naked eye. The minimum stitch length is about 1 mm. So if you wanted to stitch an image of a baseball, it would look good at 3″ wide. But if you shrink that same image down to 0.5″ wide, it will look terrible because the ball would look more like a polygon and the stitching of the leather will start to look more like a grizzly beard more than any sort of recognizable pattern.