Sure, if you only consider first-order effects then 3 million people saved out of 1.4 billion in China is logical. But, shutting down economy, impacting birthrates, inflation, rioting, suicides, taking away precious years of learning from kids, disruption of careers, dating life, college education, loss of sole sources of income, desperation and depression, etc that has been led by authoritarian governments is not worthy of the trade off if we consider 2nd order effects as you suggest. Not to mention, the biggest one is loss of civil liberties that is the engine of growth.
All of those are because we failed to control the virus in the first place. It's a bit less true now with delta, but those things stopped happening in China precisely because their decisive action was so successful.
Perhaps you should practice what you preach.