Most mainland Chinese immigrated for economic reasons (better jobs, better colleges for those who weren't top students in China), not to 'escape communism'. So, their voting patterns resemble those of other educated urban/suburban demographics, untempered by a reflexive hatred of whoever is labeled as socialist like some other immigrant groups.
This is the answer in this thread that gets to the point; everything else is peripheral or unrelated. The thread seems to be based on the misconception that Chinese-Americans are "fleeing from communism" when in fact the Chinese who fled from communism did so seventy-five years ago and went to Hong Kong or Taiwan. There is some tradition of Chinese involvement in Republican politics in some pockets of Southern California (the San Gabriel Valley and portions of Orange County), but given that we're talking about Republicans in suburban Southern California it's no surprise that that's fading. Everywhere without such a tradition, Chinese vote the way that other immigrants do and for the same reasons.
In the Indian-American community, while this doesn't relate to the Chinese-American community, people love the way the police are in America compared to the police are in India, and in 2020, some of them voted Trump because "law and order" was a issue that election and they didn't like the anti-police sentiment.
I know that every thread on this board becomes about Indians because this forum is full of Indian teens, and I'm loath to participate in this threadjacking, but I feel like I need to point out that the plural of anecdote is not data and that I have anecdotal evidence of my own in the other direction. I have heard many Indian friends of mine complain over the past half-decade that their parents are "too woke" now, not because my friends disagree with their parents but because it's exhausting to have to be talking about social justice issues all the time. I know that my own parents, who were always reflexively pro-police in an unthinking way, have had their view turned to hostility by constant images of police murder.
