Most of the commercial 4 color stations won't register at all four stations. You're lucky to get two stations to register all four screens.
I was in the industry from 1979 to 1989. Probably a lot more primitive than your work. The last company I worked for had 2 4-color hand machines, an 8-color auto and 6 12-color autos. I did all the art work, dark room, film positives and made screens for the first couple years, then we got a full time screen maker. When I left it took 4 artists and a cameraman to keep up with the volume of work I was doing.
I worked part time for a fine print maker while I was there. I took sports photographs and posterized them in my 30 x 40 process camera, then he would touch up and modify the film to get the images he wanted. Some of the prints would have up to 30 layers of ink. Print, dry, print, dry, etc... sometimes the paper would shrink or expand so much we would have to redo the screens to make them fit.
I think I still have a roll of mesh out in the barn, will have to see if its still good.