Asian Americans are assimilating. We can debate the extent to which Republicans welcome minorities or not. But one of the norms in American culture these days is that minorities are supposed to be Democratic. Asian Americans who still identify with their home country could easily vote Republican due to foreign policy issues. Or they could identify strongly as American but vote based on their interpretation of the issues (pro-business, Christian) irregardless of cultural norms. But once they encounter this cultural norm that Republicans are unfriendly to minorities, that is going to push them in a Democratic direction. It also helps that the vast majority of them are concentrated in places like California, Hawaii, New York, and New Jersey where assimilation means assimilating into a Democratic-dominated political culture.
Yeah that and and Asian Voters are very science & tech and the GOP is boring in those areas. Also and I think this has been kind of highlighted on this thread is that the GOP became a Southern Bible Belt party and Asian Voters couldn't relate to that.
Also, Asians are mostly likely to be migrants from other countries rather than being born here in the US. I saw something that Asian Immigration into the US actually dropped off in the decade in the 1990's. I forget when it started to bump up again in the 2000's.