Some coaches may see that as more important and it may have to do with their overall strategy or perceived strengths/weaknesses.
Some coaches have great success with scripted packages they use to open games. Some may have better success on defense after setting in and making adjustments (Clark Lea is a good example). There are lots of other factors as well.
I don't see it as a one size fits all. It would be interesting to look at total possessions by ND and also break it down by halves. They should come out in the wash but, it could also be affected by approaches to time management. Managing time is inherently different in the first half vs second half.