Sorry if I was unclear - I’m not asserting that just studying Latin punches your ticket to a top-tier school - you need to be an absolute star (e.g., 800-level), probably with a lot of demonstrated interest and achievements in related areas (and an otherwise-strong application) for it to move the needle - but I believe it made a big difference in several cases I’m familiar with.
Related to this, I believe a total of maybe 2,000 US high school students study Ancient Greek - so, if that’s an option, I think it would bolster the case. But only try it if you’re really interested - it’s harder than Latin!
On the other hand, no matter how strong you were at Asian languages, I doubt it would significantly influence the results of your college process.
Moral of the story: do what your heart tells you…