It shouldn't affect Trakt at all. All impacted domains are registered with Sarek, whereas trakt.tv is registered with Namecheap.

I'd say Trakt is also pretty far removed from any piracy-related activities, moreso than most of the impacted domains at least, which either host copyrighted content (streaming sites) or lead to it (e.g. torrent trackers like AnimeBytes.tv). Though I don't think it's known whether all .tv domains at Sarek are affected or just the ones related to piracy (but it's safe to assume that most if not all of them are related to piracy as that's what Sarek is known as being a safe harbor for).