This statement is True. According to the Solow-Swan model of economic growth, in a global economy with fully integrated and frictionless international capital markets, the steady-state output per worker will not be equal across all countries. This is because differences in capital accumulation, technological progress, and efficiency of labor will lead to varying levels of output per worker in different countries. Therefore, in a fully integrated global economy, the steady-state output per worker will be unequal across countries.