The long, thin object looks organic to me (a type of kelp?).
There is also virtually no marine growth on it as one would expect on a man made object after 75 years in tropical waters. The color of the object isn't what I'd expect from an aircraft cable.
At 0:07 minutes there is a starfish in the bottom center of the image. I'm certainly no botanist, but it appears to be in the
Linckia Multifora family,
which inhabits the South Pacific islands. The starfish doesn't really matter. I was trying to evaluate the color balance and relative sizes of objects in the overall image. The images in the link and Wikipedia were close to the color of the starfish in the image. So, it appears the white balance within the overall ROV capture at about 0:07 was close enough to natural to judge other colors in the image. The Linckia Multifora grows to about 6" across per the referenced link. If it's anywhere close to 6" across, the long thin object has a diameter in the 0.75" to 1.0" range. That's too thick for anything other than a heavy duty power cable on a weight sensitive aircraft.
My vote is that the long thing is a relatively new organic object.
The definition of the new ROV video is great, and the multi-colors should be a big help identifying things.
Doug