Printers have a lot of trouble to get consistent output.
... Fountain solution, blankets, paper type, ink air humidity....
Especially if they don't use instruments they have a lot problem to print and/or to repeat job.
With FM screen, because 2D of non linearized plates is not same, you can't print with proper press linearisation.
Also color space is different , not so much, but is visible. All this things make presroom operator life harder.
If you have system under control non periodic screening (FM, Staccato, Specta, Stohastic,) give better output. Old fashion printer company with visual control, better to stay with periodic screening.
I could not say that is not possible, but avoid CTF, Violet CTP, old type of Creo.
Concetring screening is Esko marketing stupid trick. They say that with screening of this type you will print without dot gain! (something like Kodak square spot)
Also CS is not easy to control. Setup require additional step, and for this step you visualy judge what is good or bad.
FM printed stuff allways looks better. Finer gradation, finer details.