You are mistaking two different types of consensus. Social one: we are running this software, which encodes particular rules; we have a roadmap; we are sharing

You are mistaking two different types of consensus. Social one: we are running this software, which encodes particular rules; we have a roadmap; we are sharing similar values. Technical one: transaction A came before transaction B. Proof of Stake is responsible for technical consensus and nothing else. Your statements are of low resolution.