I can imagine this experimental film appealing to some people, so take this with a grain of salt. I did not find it appealing.
The concept is interesting: a documentary on commercial fishing off the coast of New Bedford, where parts of Moby Dick took place. Credit must also be given to the directors for not just taking the easy route of most documentaries. The film eschews things like linear narrative, dialogue or narration, or any contextual moments to help the audience find its bearings. It is perhaps best described as psychedelic, and I wish I'd taken some edibles before watching.
Wikipedia offers some insight into the production. "Over the course of filming Leviathan, Castaing-Taylor got seasick and Paravel went to the emergency room numerous times.... While filming, the director's first camera was lost at sea and they had to resort to their backup cameras, Go-Pros. The images produced by the Go-Pros created afterimages of haunting qualities due to the lack of clarity within the lens. According to Castaing-Taylor, 'It activated the viewer’s imagination much more.'"
It all sounds fascinating, but I barely survived the 87-minute running time. For me, the key was the total lack of context. I was rarely able to figure out such basic things as what am I seeing, or where is this scene, or why is this important. As I say, it may work on some abstract level, but I'm not sure I have 87 minutes of abstract in me at this point in my life.
There was a scene that summarized my reaction, far too easily, in fact. I actually knew what I was seeing for a change. One of the fishermen is sitting at a table in what looks to be an eating area. There is a jar of mayonnaise on the table, and a tin of chewing tobacco, among other things. The fisherman appears to be having a chew ... he occasionally spits into a cup. We hear what sounds like a television show, although we don't see it, and I'm not sure how they had a TV out on the sea. It's a one-take scene, with a stationary camera. It lasts for around 4 1/2 minutes. We watch the man ... we hear the TV ... the man spits ... he stares in the direction of what we assume is the TV ... he spits ... we watch him ... and gradually, after about 4 of those minutes, his eyes gradually close and we realize he is falling asleep. Everybody's a critic.
Some critics didn't fall asleep ... it's #83 on the They Shoot Pictures, Don't They list of the top 1000 films of the 21st century.
(Here is a letterboxd list of Film Fatales movies.)