Let's say I'm a copyright holder and I see my content on the bittorent network. Would the IP address of the downloader on the network belong to boxopus? If so,

Let's say I'm a copyright holder and I see my content on the bittorent network. Would the IP address of the downloader on the network belong to boxopus? If so, if I then asked boxopus to hand over the all user's details (dropbox accounts and email addresses I guess) that accessed the torrent in question through their service, would they have that data on their servers?