What Asian Americans are “doing right” in this context is being selected by the immigration system for high educational attainment (through visas for skilled workers and PhD students). For recent immigrants, 70% of Indian and 50% of Chinese immigrants to the US have bachelor’s degrees (versus about 30% of non-immigrant Americans and smaller percentages of people in India and China). Given that these immigrants are numerous compared to older generations of the same ethnicity, their characteristics have a significant impact on how the ethnicity as a whole is perceived (unlike European or African immigrants who also skew toward high educational attainment, but do not visibly make much impact how the much larger white and black populations in the US are viewed).
Educational attainment tends to be highly transmissible across generations, whether or not there is any “pushy tiger parenting” involved. You can argue nature or nurture, but either one tends to be advantageous with highly educated parents.
But note that most students (Asian or otherwise) do not attend colleges like Ivy League schools or Berkeley. You can find large percentages of Asian students at colleges like Mission College (an open admission two year community college), for example.
Note also Hawaii, an example where the Asian American population is high, but was not filtered for high educational attainment when its immigrant ancestors came.