Torrent is a program for exchanging files between users. The files are not located on servers on the Internet, but on users' computers, so it is impossible to fight the torrent.
What is torrent used for? Basically for getting paid content for free (games, movies, music, software, etc.).
Why cryptocurrency in this area?
The legislation of many countries is fighting counterfeit and this fight is intensifying every year. Why associate cryptocurrency with crime?
Just like Bitcoin, Bittorrent has some sort of reputation. But what you say isn't all there is, just like Bitcoin isn't used solely for "dark web" deals. I has been widely used for Free and Open Source distribution, several Linux distros release using this protocol. Also has been used in high profile cases such as game updates (World of Warcraft among others, IIRC).
Bittorrent is a highly efficient decentralized transfer protocol, it excels in delivering popular content to infinite people at the same time, compared to centralized methods with finite bandwidth capacity. If you need to distribute something many people would want that your servers simply can't ever cope with, use Bittorrent.
Yes, of course media content would be an obvious case use, as long as its popular. It isn't so well suited for rare content almost nobody wants.
Of course, a key factor is that the content delivered is identical for everyone, so drmed content isn't well suited for it (since they make it different to each customer to track it). So that model isn't going to work.
Donations can already be made using Bitcoin. In fact, an anonymous donation will always net far more money to the content creator, than using a typical commercial channel. Ie: a small tip to your favorite singer, gives him/her far more than you buying their CD (often the labels don't give them anything, so they only get money from touring or selling t-shirts etc). It is part of the disease of the old system. Something similar happens with movies.
I think the best thing artists and producers can do, it put a donation address. In the long run, they are probably getting far more that way than spending money in system destined to be defeated anyway, or chasing people in countries their lawyers can't reach.
Crowdsourcing has also been a very interesting model for content creation, why depend on views/seats/sales when the whole thing could be paid in advance?
It might be interesting to do "something" regarding a torrent, but i guess simply adding a donation address in the torrent info would do. However they could do the same thing in the main page where you are getting to torrent from in the first place, and its not like people couldn't just undo the official torrent and make a new one with THEIR address instead, which is even worse.