There are many ways you can look at this situation. In my view, I don't think its a matter of hate. You gotta separate the actions of the clown on top with the actions of the government. The government is tasked with protecting the people and ensuring their best future. To them, it does not matter if its competing against China or any other country. Its not personal, its business.
To that end, the US's rivals have long used its weaknesses against it. While there are unconfirmed reports that China and Russia helped to prop up BLM in 2020, we do know for a fact that the USSR fanned the flame of racial tensions during the cold war. The best way to fight this? Get as close as you can to a fix for the problem. In that regard the USSR's attacks could have been used against them as a motivation to improve things and the US has improved.
Likewise its questionable if pushing the lie flat movement would harm regular Chinese people. From the government's POV, it looks bad: Chinese people being worked to death, can't afford a one bedroom apartment and one couple has to take care of possibly four elderly people. Of course some will just decide to 'opt out'. Makes China look bad while also possibly helping regular Chinese people in the long run.