Titleist was founded on building a ball that wouldn’t wobble after the Acushnet President lost a tournament with a ball that wobbled off line to lose a match. That was 90 years ago. They have the best quality control in the business. Other than Bryson, there are very few pros that take the time.
There was a case when a major player introduced a 4 piece ball that could have off center cores. They were awful. That resulted in a major retooling of that ball.
I’m comfortable that I can trust a Titleist ball will be consistent from box to box.

Nope. Take the Ball Plant 3 tour and see how they are made. The consistency of the modern solid core balls makes them virtually perfect in balance. You are more likely to have directional and distance issues from scuffs you might have received from hitting trees, cart paths, or other hard surfaces. Take those balls out of play.

Hopefully this is an unnecessary step with Titleist premium golf balls (and the performance balls, too). Theoretically, this makes sense, but identifying the heavy and light spots may be more difficult than it would seem.

Bryson DeChambeau used to do this with his golf balls, but I don't know that he quantified any value to the procedure.