Emulsions can be screen printed and they look exactly like the screen, textured! BTDT.
I thought that might be the case. We do have some very fine stainless steel mesh now but unless the emulsion is going to flow a bit after printing, there will be an impression of the mesh on the emulsion as you state. Might be an interesting effect though!
"People who say things won't work are a dime a dozen. People who figure out how to make things work are worth a fortune" - Dave Rat.