Western nations had plenty of time to react, relatively speaking. The US was hit especially hard, though, by policies which dismantled the government's ability to handle this sort of event, the discarding of a practiced playbook for responding to this sort of event, and government and right-wing lies and conspiracy theories.

Given that the US government's response was basically to do nothing until it was too late, and then to do nothing except hinder the states' abilities to respond, it's hard to imagine that an extra six months' time would have made any difference, other than giving them six more months to downplay and dismiss the problem.

So yeah, we can care about whether the Chinese government was trying to save face, but in the end does it matter whether that's the case or not? The only thing we can change is our own countries' responses to pandemics like this.