Usually it was because they were hired to do so by a competitor. Every time they would claim to demand a ransom, although they didn't expect for it to be paid. It just made people less suspicious.
noun
1. a strong and fast-moving stream of water or other liquid. "rain poured down in torrents"
2. a sudden, violent, and copious outpouring of (something, typically words or feelings). "she was subjected to a torrent of abuse"
Edit: Sorry, misread the post.
The attack is pretty clever, being indirect it is hard to trace and because bittorrent allows arbitrary ports you can hit a specific ip & port pair.
The one downside is the victims can be sure it is a bittorrent DDOS by checking the attacking connection's requests. The attacker's packets will contain bittorrent's magic connection bits.
ISTM that once you've determined bittorrent is the attack vector, the hard part is done? Is dropping by "magic bits" harder than dropping by ip/port?
Please confirm my understanding: this would be by inserting yourself into the DHT with an address near/equal to a target high-volume torrent, so that you're frequently queried by clients looking for peers?
If so, I guess it could be possible in some cases to identify the peers who initiated the attack. The non-malicious peers attempting to make BitTorrent connections to your server will provide the infohash of the torrent they think you're downloading, which you might be able use to find the malicious DHT peer who's directing them.
At first I thought you were suggesting that it's possible to for malicious peers to insert invalid IP/port pairs into non-malicious DHT nodes, which I don't believe is possible. (The mainline DHT protocol [1] requires that peers provide a "token" value, previously sent to their IP address, to verify themselves when being listed for a torrent.)
Otoh that's where the opportunity is. The fact that "customers have no clue". People pay you for something that they can't do themselves or that you make easier for them to do.