You have the freedom to use the network for any purpose as long as you don’t harm the operation of the network itself, the rights of other users, or the principles of neutrality that allow contents and services to flow without deliberate interference.
You have the right to understand the network and its components, and to share knowledge of its mechanisms and principles.
You have the right to offer services and content to the network on your own terms.
You have the right to join the network, and the obligation to extend this set of rights to anyone according to these same terms.
It is unlikely anyone in the network has the rights to the copyrighted material being exchanged. There may be some exceptions, but you'd have to dig for them, in an extremely invasive and non-neutral way.
Also, copyright infringement is nothing like property theft, mostly because copy & paste doesn't have the same effects as cut & paste. Stop using this broken analogy, it only hurts the debate.
You could argue that taking all the bandwidth is harming the network.
> or the principles of neutrality that allow contents and services to flow without deliberate interference.
As long as no service was prioritised, e.g. every user gets an equal fraction of the bandwidth, then it is still neutral.