Show me the war where resources
weren't important. But you fail to take my meaning, which is that of the two, bureaucracy is far more robust than aristocracy, because power held by aristocracy succeeds by lineage where that by bureaucracy does so by role - that is, in a fashion far less constrained by the available resource of satisfactory personnel.
Every billionaire in function constitutes an aristocracy of one. Meanwhile, states have armed forces. A billionaire, in relying on money for power, implicitly also depends on continued access to the global financial system which gives money meaning, in order to exercise that power. States are not obligated to allow such access, and may easily prevent it in the limiting case by ensuring such trade comes with a side of explosives delivered at speed, which broadly suffices to deter desirable counterparties.
Think what anyone may of such a thing, the fact is having an army or navy or air force means you can do it. Which billionaire has one of those?