No, we "feel worries" because "they" are an authoritarian party-state whose record on little things like freedom of speech, rule of law and human rights speaks for itself - and that's when it's dealing with its own citizens.
Exactly. The US is willing to prop up some pretty brutal despots in the name of stability or access to resources. China is going to be as bad or worse. The actions of the Chinese government overseas are not nearly as constrained by the need of partial approval or lack of disapproval at home the way the actions of the US are. Someone like Pinochet wouldn't even give China pause.