I thought your study was on immersion programs. Minority language instruction programs are not immersion programs. An immersion program is specifically designed for anglophone children studying in French. There is no equivalent in English in Quebec nor is there in minority official language communities. These programs were implemented for anglophones in Quebec who wanted to learn French. They do not exist for francophone children except in some private English institutions.
Minority language education is entirely distinct from immersion. If you would like to undertake a study on education in minority official language communities, I would be happy to answer your questions. The Supreme Court ruling stated that these programs are not managed by the school boards. Schools in minority official language communities are managed by the school boards in those communities, which is not the case for immersion programs.