You are probably not wrong, however take note that this is exactly the line of thinking that led to the DMCA. Beware the law of unintended consequences.
To misquote you.
"I bet if we removed the requirement to get a lawyer and file a lawsuit that those behaviors would vanish real quick, if all you had to do as the wronged copyright holder was report to an authority(the hosting service) that Company X is infringing on your copyright."