I don't think there's going to be that widespread use of this, primarily based on this fact, from the article:
"Here's the major catch — in order to blueshirt, the player cannot be classified as a “recruited student-athlete” by that specific school.
What exactly does that mean?
According to NCAA bylaw 15, a recruited student-athlete is one who was either provided an official visit to campus, had an arranged in-person, off-campus encounter with a member of the coaching staff (this includes arranged contact with the prospect's parents, relatives or legal guardians) and/or was issued a National Letter of Intent or written offer of athletically related financial aid for a regular academic term.
Another NCAA bylaw also denotes that a prospect becomes a recruited student-athlete once more than one phone call has taken place between the athlete and a member of the coaching staff."
So basically the school would have to 1. have scholarships available 2. want a player but not enough to recruit them as one of their top 25/28 guys, or even as a fall-back guy. 3. the player would basically have to have enough interest in a school to recruit the school, in a sense.
In summary, this is a pretty rare case when a guy is going to pass up a full ride to another school. I suppose schools could get around the no-contact thing by having alumni, boosters, etc., act as intermediaries (probably in violation of the rules) so that the player would come to the school on their own and talk to coach. Then the player gets a verbal commitment from the coach to "blue-shirt" the guy. This seems like it will be even more uncommon than gray-shirting, which is already pretty uncommon.