[snowwrestler]

I don't think that communist societies have more incentive to lie about statistics. But they have less incentive to catch lies about statistics, because there is less competition. If the government collectively manages all the means of production, then all the routes to power go through the government. If the government chooses to lie about statistics, who else has the power or opportunity to challenge it?

In a capitalist system, it's possible for private citizens to achieve financial success without going through the government, collect and publish their own information, and in doing so, challenge and influence the government.