I think this is an inevitable historical process - a territory is more free, and therefore becomes richer, more technologically advanced, more industrially capable - which if converted to military might allows it to impose its policies and norms on other countries

In the long run this leads to a spread of organizational structures that are more liberal & capitalistic (eg British empire spreading common law) but obviously doesn't directly spread anarcho-capitalism which would be the maximum of individual freedom within a market structure

I think that as the globe industrializes and adopts homogenous and freely-exchanged technology (and especially as this technology makes defensive military operations more cost effective than offensive), we will see stagnation of empire, decentralization, and a global push to liberalize

The Global American Empire (GAE) dominated not because it was still free and organizationally superior, but because it had used freedom to acquire a technological and industrial lead over much of the world. When that technology is distributed across the world, what remains is organizational efficiency. I have extreme confidence that freedom in a private property framework is more efficient than central planning.