my observations of my rifles, my friends' and the posts of those who appear to have experience would lead me to conclude the following:
1. use of aggressive abrasives is risky and probably not necessary or benefical, except in unusual circumstances
2. consistent cleaning with proper equipment and technique after every few shots is probably beneficial for accuracy and ease of cleaning (or at least will do no harm) to a new barrel, both cheap ones and really high quality ones.
3. It probably doesn't matter whether you do it every shot or every 3-10 shots.
4. For maximum accuracy, after your "break-in" period, you should continue to clean your rifle after a small number of rounds are fired (you can decide what a small number is, and it will be ammo and rifle dependent)
I read Mr. McMillan's comments to be primarily directed towards the use of abrasives and his no doubt correct opinion that high quality barrels are relatively smooth to begin with. I doubt that he would disagree that you are likely to wear a barrel out significantly more quickly by a carefully done initial periodic cleaning every few shots.