I'm trying to digitally print a shrink wrap label that will have some pretty small font on it. (The overall size of the label is 81mm x 84mm) Preferably, different sections of copy on the label would be distinguished in various shades of grey. The printer I am working with is worried that by not printing all the copy in black, the text will be grainy. Is there a way to prevent this from happening?
When printing with process color (CMYK) there is no gray ink. The typical way to achieve it is to use a screen of black (K). A screen is when you print a dot pattern vs. a solid color. The smaller the dots the lighter the 'gray' will appear.
The problem is doing this with type. Your printer has a valid concern and your type will likely not come out how you'd like them to.
The only way to really prevent this is to print solid color. To do that, you'd have to run spot colors and print with actual gray inks. This is certainly doable, but may cost you more to have done.