Not sure independent instructing going to make a big difference.
I assume the independent instructors will be using their own aircraft?
Aircraft costs per hour are lower if the aircraft is more heavily utilised.
Flying schools or clubs typically can offer a variety of aircraft that are more heavily utilised (and therefore cheaper per hour to operate) than if there is only one instructor (utilisation then becomes dependent on the single instructor's availability).
I have no problems with independent instructors per se but think, why not look at encouraging schools and clubs thrive rather than treat them as a problem?
A healthy system would have a variety of schools and flying clubs from small to large providing a variety of experiences and individual points of difference. I would like to see an environment that encouraged that rather than undermine it.