Opportunity is missed by most people because it is dressed in overalls and looks like work. - Thomas Edison
Depends on the line count of the halftone, but it is pretty close until you get down to less than 10% tonals. Consider that the 4-5% can be smaller than the thread diameter. So with a really good microscope I can measure the halftone in microns and compare to thread diameter for a quick check. Simple answer, you will lose some, especially with ink jet. Real film may have a more solid 5% eclipsed almost entirely by the thread, but that remaining crescent not eclipsed by the thread may still image whereas ink jet will suffer burn through along the edges or undercutting of stray pico liter dots. The lower the haltone count the more likely you can, the higher the halftone lpi, the more data that will be eclipsed by threads.