What Harry T is defending is making copyright an absolute liability offence. See:
http://en.wikipedia.org/wiki/Absolute_liability
In these cases, the Crown does not have to show a guilty mind (an accident or inadvertant breach still allows a guilty verdict). But the penalty is important; a small fine, no loss of liberty, no criminal record etc. is required. In short, the burden of proof is much lower, but so is the liability.
So, in Harry T's scenario, is a small fine ok for a serious pirate or other abuser of internet resources? If not, then the burden of proof must be much greater.