I'm really not trying to be a jerk, but how can sorting bullets by BTO or BS help improve seating depth? That is an honest and fair question. Obtaining uniform seating depth requires the exact same distance on bullets between the two critical contact points, i.e. where the seating die stem contacts the nose to push the bullet down into the case neck, and where the comparator insert seats on the bullet ogive when we measure CBTO. Both of those critical points are located on the bullet ogive and thus fall outside either BTO or BS measurements. In other words, sorting bullets by BS or BTO are unlikely to improve uniformity of the nose length region, of which they lie outside. Thus, I don't think it likely that sorting bullets by BTO or BS will be effective at generating more consistent seating depth.
In fact, Bob Green and others make Comparator tools that specifically sort bullets between those two critical contact points on the bullet ogive. Ideally, the use of such a tool would be even better than sorting bullets by OAL, which admittedly also takes bullet regions outside those critical points into account. For that reason, I also view sorting bullets by OAL as a "poor man's" Bob Green Comparator. However, because the major source of bullet length variance typically resides in the nose section, sorting by OAL does help to improve the consistency of seating depth. I don't see how sorting by BTO or BS will make any contribution in that regard. As I alluded to earlier, many people that sort bullets by BTO or BS do so for very specific reasons that result from having the exact same length of BS gripped in the neck at a given seating depth, which are different reasons from promoting uniform seating depth. To be clear, I'm not knocking sorting bullets by BTO, BS, or whatever other parameter anyone wishes to use. In fact, any sorting procedure might be a possible improvement, and is unlikely to ever make precision worse, even if it doesn't improve anything. I'm merely questioning whether sorting by BS or BTO will help promote uniform seating depth.