Yes.
In my research in the 1990s, I also examined the situation of children in immersion schools. I even studied a group that was in an immersion program in Alberta. They were anglophones in total immersion. They had the equivalent of a French-language school. From kindergarten to grade 12, they were educated 80% of the time in French. To my knowledge, that experiment has not been replicated. The group could not speak French as well as francophones outside Quebec, but it was a program for anglophones.
We must not forget that the minority's school provides education for students with French as a first language with a very solid learning of the second language. Moreover, immersion is a second language program. The Alberta anglophone group, in particular, had an excellent level of bilingualism. Of the groups of children in immersion I have tested, that one had the highest level of bilingualism.
Immersion yields very good results. As Mr. Corbeil mentioned, about 15% of rights-holders enrol their children in immersion programs. We don't know whether that is because French-language schools are inexistent or because francophone parents believe that immersion provides better results than a French-language school. They talked about the 50-50 split and so forth. All that should be analyzed. That said, immersion does not produce the same level of bilingualism as a French-language school. I challenge anyone to prove me wrong. French-language school graduates are the most bilingual people in the country.