Okay, I'd like to be convinced. What's eventually: five years, a generation---or two? You also qualify your claim with "unless government screws it up." Weak government regulations made The Great Recession. Ever know governments not to screw it up? "Eventually" and "unless governments screw it up" are a bridge too far for a claim that capitalism always fills a need.
What do you need convincing of King?
That you live in a time and place of unbelievable access to goods and services unlike ever seen before in the history of mankind?
That the average person is wealthier, in term of access to health care, food, shelter and a srptunning array of material goods from every corner of the globe, than ever before in history?
That the expansion of capitalism around the globe has lifted more people out of grinding poverty and starvation circumstances faster in the last 30 years than ever before?
Socialism didn't do that.
Government management didn't do that.
Five year plans didn't do that.
The relaxing of economic management by governments and unleashing the creativity and drive of individuals is what did it.