The Chinese call this "running" (there is a Chinese character that is worded the same as run in pinyin and is used to term as escaping/leaving from China), something that has been increasing with the iron fist of the CCP coming crashing down a lot more often, especially what has happened with Shanghai.
Is there a positive/negative connotation with it? In English to "escape from a situation", the implication is that the situation was bad and you are saving yourself from it. But if you "run from a situation", it generally implies something like lack of courage.