I'm on the PoW side. But you should note that PoW is also oligarchic in the sense that individuals have no ability to compete in terms of mining. The rich get richer is still a thing here.

That being said, PoS is very much a human centric valuation (rich peoples opinions being the value), so yes: politics and then war seem likely.

Pretty much every fiat currency has the same issues as PoS, where eventually war becomes the cheapest way to retain value.