I wouldn't call it police. Police in that sense would imo be the bps, because it's them to carry out the orders. ECAF rather resembles the court of law.

Nope, I'm sorry to say you are missinformed. Police does the investigation and brings the case to a court of law and so does ECAF, which performs both of these roles. It's police and a court of law combined into one entity, which makes it even more formidable.

If BPs can be compared to anything, it's the high court and the executive body (the government) combined but certainly not the police.

I'm not saying a policed blockchain is a bad thing. For me it doesn't make much sense but I guess some people might like it to be taken care of.

But why are you so afraid to use the right word to name it, and hide behind the arbitration phrase?