First of all, awesome footage, as always!
As I have mostly seen these on sunrise dives I always thought that it was some sort of bioluminescence, but as you say, it really looks like it moves!
From what I can see it is extremely thin and glass-like, it doesn't look like there are any organs, appendages or anything, shape looks like that of a copepod but to be honest, I'm just guessing! To me it looks like it is see-through and on occasion reflects the surface light giving it the blue color.
I hope someone will be able to ID this as I am really interested to know what these things are!
Happy bubbles, Morten!