I will answer your question by giving an example.
In 2006 we conducted a post-censal survey on official language minorities. It was a very detailed survey, the objective of which was, really, to understand the various dimensions that contribute to the vitality of official language minorities. We had five very detailed modules on education, so it was possible for us to ask parents why they chose to send their children to different schools and what obstacles, hurdles, or problems they faced.
That information was available for official language minorities. But there was an interest, way back when, in developing and conducting that survey. You have to understand that most surveys StatsCan conducts are funded through partnerships with the different ministries and departments of the federal government.
My point is that yes, of course, it would be possible to run such a survey to better understand the hurdles, the obstacles, the objectives, and the challenges. The only thing we can really do right now is use the data available, be it from the census, from the national household survey, or from administrative data collected through the provinces and territories, to get a better understanding of what's going on.
But you're totally right: we would need to run such a survey.