So, does this course actually work at instilling critical thinking in students, outside the narrow classroom setting? Does this effect persist over the long ter

So, does this course actually work at instilling critical thinking in students, outside the narrow classroom setting? Does this effect persist over the long term? Is it better or worse to teach this in the context of composition, or something more domain-specific, e.g. economics/government policy? I feel like people making claims that education that students don't ask for is useful have the burden of showing that it is does what they say it will, empirically, and not get to hand wave about "critical thinking" or "well-roundedness".