Cover-ups are a cultural thing in East Asia because reputation is paramount. They'll attempt to cover up anything that makes them look bad as means to protect their reputation. So the second part of your statement is not necessarily true.
China attempted information control on SARS-1, but rolled most of it back by April. They still haven't done this for SARS-2. That's not proof, but is a difference. Enough small differences can add up to a large difference.