Not surprising to me, though it will probably surprise those who say “it is not what college you get into, it is what you do in college that matters”. Whether or not it is wrong is not really the point…
However, it does mean that, for some career directions, it is not just how well you do in the last school that matters – how well you do in the second to last school can be highly important. To the extent that some such careers that one enters after earning a bachelor’s degree consider the prestige of your college, that means that your high school performance is highly important*, and that (and other college choice factors) is heavily influenced by parental actions. So perhaps the tiger parents are correct in their motivations, even if their methods are faulty (or abusive in more extreme cases) and their measures (often grades and test scores only) are not the correct ones for the goals.
*In another recent thread, a poster mentioned that some employers hiring college students about to graduate ask for SAT scores – that seems to be another (much more explicit) example of judging a college applicant by something that s/he did while in high school.