I tend to use both, for larger diameters: screw-cut then use a die to trim the profile.
Note that a plain screw-cutting tool with a sharp tip, intended for a range of sizes, needs be fed in slightly deeper than the “book” thread depth. Or widen the cut by a few thou?
Another difficulty with using just a die and conventional die-holder without a guide-bush is creating a straight, concentric thread. I imagine it’s possible but with steadier hands than mine and far more practice than me!
I do have one of those commercially-made die-holder sets based on a cylindrical holder sliding on an arbor with a Morse-taper shank but find it a right pain to use. It is very bulky for a small lathe like a Myford 7, and the shank slips in the tailstock. I may be wrong but it seems fractionally over-long for the barrel so is gripped on only a small area.