To be perfectly accurate the lead screw depends on synchronization with spindle to produce threads. Lathes with one screw were common, but threading is less common than turning; wear on a single screw eventually may not thread as well.
A feed screw that can deviate from a prescribed rate, [ie DC motor] to improve or tune cutting conditions, time included. Most of us developed a sense what RPM looks right for so & do diameter, feed is less intuitive. What appears a good finish can be a result of rubbing, not cutting. Careful measurements might show an expected size reduction is less than what dial indicates. Just as possible, when a 'coarse' finish is precisely on size.
In general I judge a cut by a continual helix, somewhat thread-like. Finish in a pre-honed cylinder is another way to visualize it. As a cutting edge breaks down, the finish degrades. Rough or finish, a consistent appearance is near certainty one end is same as other, or tapers at prescribed rate
In job shops, we apply finishes according to intended use of a particular feature; a bearing bore deserves more attention than say, a shaft connecting two hubs. Too fine is a burden on shop rate just like too coarse requires secondary work.
When we re-open post holiday I'll get a picture to illustrate this.

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