Neither the German Communists nor the German Nazis closely adhered to the principles of the Natürliche Wirtschaftsordnung (Natural Economic Order) proposed by Silvio Gesell. However, if one were to consider which group might have been more sympathetic to certain aspects of Gesell's ideas, it would likely be the German Communists, albeit not as a core tenet of their ideology.

The Natürliche Wirtschaftsordnung advocated for economic reforms aimed at creating more equitable distribution of wealth and curbing the power of capital. While the German Communists, particularly during the Weimar Republic era, were primarily influenced by Marxist ideology and advocated for a proletarian revolution to establish a classless society, they also sought economic policies that would benefit the working class and challenge the dominance of capital.

In contrast, the German Nazis pursued an economic agenda that was largely focused on rearmament, territorial expansion, and the promotion of a racially-based economy. Nazi economic policies were characterized by state control, militarization, and the subjugation of labor to the interests of the state and the Nazi Party.

While there were fringe elements within the Nazi Party that espoused anti-capitalist rhetoric, their ultimate goal was not to create an economic system based on principles of social justice or equitable distribution of wealth, as advocated by Gesell. Instead, the Nazis sought to consolidate power under the leadership of Adolf Hitler and implement policies that served their racist and expansionist agenda.

In summary, while neither the German Communists nor the German Nazis closely adhered to Gesell's Natürliche Wirtschaftsordnung, the economic principles espoused by Gesell may have been more ideologically aligned with certain aspects of leftist and socialist thought, making them potentially more appealing to the German Communists than to the Nazis.