While silencing Li was appalling, in practice it probably didn’t slow down recognition and escalation of the issue much as there were other doctors already aware of it and raising the alarm. Wuhan CDC had been alerted on 27th December, and the WHO had been told there was a pneumonia cluster of unknown origin on 31st December, 3 days before Li was strong armed.
All the instances of messing up found so far were incompetence and bureaucratic bullying. This certainly obstructed the free flow of information and delayed effective investigation and action though, but there’s no real sign of a concerted cover up because there were several lines of investigation in the open from early on that were never shut down.