If their goal is to be world-class automakers then they will quickly learn from local markets and adapt accordingly.
For instance, I used to have a Huawei phone and the quality was on par with Apple and better than Samsung (taking Apple on was their goal and they executed accordingly).
Tesla has been quite successful despite a few hickups along the way, including regarding quality. My guess is that Chinese brands can follow at least the same trajectory, if not better.
Consider also that BYD supplies batteries to Tesla, at least in Europe. So at least on that front they seem to be world-class if not leaders.