As with anyone, you’ll do as your superiors tell you to do. As Shaw states in the video, the issue of starting the clock was discussed in the National Referees Meeting, where the direction for NCAA officials was to (paraphrasing from the video): start the clock expediantly after a first down/out of bounds, when time isn’t critical, which is generally considered anything outside 2 minutes in the second or 4th periods. When the U has the ball and is moving to put the ball at the succeeding spot, wind ‘er up. Inside 2 minutes in the 2nd/4th periods, in a competitive game, slow down, and wait until the ball gets spotted.
Do what your boss(es) tell you to do.
Like EVERYTHING else in a football game, NO two first downs are EXACTLY alike. Some happen after a 20+ yard pass/run are successful, others when a 2" run crosses a line. Some involve players from both teams unpeeling, others retrieving the ball from distances down field, different chain crews resetting, etc. What was so-wrong about a consistent, designated source from assessing EACH situation declaring, both audibly and visually, that EVERYBODY understood that "all was properly established", including NONE of a million unusual problems, with players, officials scattered all over the field, confirming that a new series of downs was "ready" to begin.
The process seemed to work ,really effectively, for over 100 years at ALL levels of the game of football AVOIDING SILLY ARGUMENTS. Seems like a perfect example of, "If it ain't broke, don't fix it", and TV can deal with their own "adjustments".