A large portion of putting the round where it really counts, when it really counts is having confidence in the things you do leading up to that point.
If one feels confident in cleaning after every round, then do so for your peace of mind and confidence.
Or if the barrel will only shoot accurately when OEM clean, then always shoot once, then clean, shoot again. Benchrest shooters seem to lean that way and if it works for them fine.
That simply won't and doesn't work for me or any I shoot with. Nor do I know of any school that teaches that.
It is however a constant battle with superiors to clean rifles whether in LE or military duty. They would have you clean them every 15 minutes. It is a visual thing v a performance thing to them.
Shoot the gun with factory ammo for 40-50 rds minimum(I do 100) without getting barrel hot. Keep a barrel log or rounds fired. Zero the gun with your money round. Shoot the gun until accuracy begins to fade. Clean the gun somewhat and in a set procedure(10 strokes/20 strokes etc.) Check the clean cold bore shot. If it and the next few rounds are where they previously hit (prior CCB, etc.)before the cleaning, you are golden.
The goal is to end up with a seasoned barrel, clean it enough for the accuracy to come back, but not enough to degrade the accuracy of the CCB and susequent shots after a cleaning.
Some .308s go 500-1500 rds or longer before accuracy falls off.
However, when you are behind the barrel, it only really counts, when it really counts. So confidence in what you are doing prior to that is king.
Plus all that mojo that is being pushed about new barrel breakin would sound really impressive to a jury in a courtroom.