Not true in New York, where this particular trial took place. From your own link:

  S 380.30 Time for pronouncing sentence.

  In general. Sentence must be pronounced without unreasonable delay.
  Court to fix time. Upon entering a conviction the court must:
  (a) Fix a date for pronouncing sentence; or
  (b) Fix a date for one of the pre-sentence proceedings specified in article four hundred; or
  (c) Pronounce sentence on the date the conviction is entered in accordance with the provisions of subdivision three.

So not only is sentencing distinct from conviction semantically, it's also distinct legally in the state of New York.