Notably, one of the reasons that the military industrial complex can be hard to unwind is that it works well for capital and workers. Consider all the programs you've heard of which boast about providing jobs in every single state. Whether these different equilibria are better or worse for labour (or fractions of labour giving you your diverging K-shape) is a separate question and potentially changes over time.
One historical event you could model as a change in equilibria was the industrial revolution. Instead of elites consuming economic surpluses, the economy change into a mode where those surpluses could be reinvested in productive capital, new technology, and manufacturing in a self-reinforcing cycle (of course these avenues didn't really exist before). Famously, within this new equilibria, labour did not do well at first; awful conditions in factories with terrible life expectancies. But those workers' grandchildren lived lives of relative prosperity as a result.
All of which is to say, the existence and description of multiple equilibria in economies is a different question from how labour and capital fare in those equilibria.