Many kids write the essays you are describing for universities in the US- why they are interested in antiquity; why they want to pursue advanced studies in theoretical physics, and those essays are just fine. The college’s which have off-beat prompts usually offer a “tell us something about yourself” option-- and that’s where these “I want to be an archaeologist” essays fit.
And I don’t agree- at least from my limited experience- that students elsewhere don’t take rejection personally. There are studies going on now about teenage suicide rates around the world and whether the college admissions process is correlated to suicidal ideation, depression and anxiety, etc. One might posit that the ultimate expression of “taking it personally” is taking ones own life because a kid didn’t get into XYZ university. Which in some countries is often the difference between having a middle class/professional type job or being relegated to life which will not allow any economic advancement. Some of these kids really believe they have failed their entire extended family- elite university admissions is the ticket out of poverty for two and sometimes three generations.