If instead you teach basic skills in the best way, through fairly rote learning combined with application, then later abstract concepts are possible and can be discussed. The idea that you have to do one (abstract concepts) without the other (basic skills) is simply an attempt to limit the types of people who can succeed at an activity to only those people exactly like the teacher.
In other words, attempts to teach abstract concepts first as if basic skills are pointless are simply attempts to weed out undesirable people, which is what this article's proposal would do.