For underwater photography, there are only a couple of options to color correct the images...with film the only option was a filter... it cut out all the extra blue/green to make a color balanced image, but it did it at the cost of cutting out almost all the light.
And, one size fit all.
Today, one can manually adjust White Balance (which in underwater photography turns up the red channel), so the resulting image will now be brighter.
This works for video or stills. As you go deeper, you can turn up the red channel to the point where the images start to look, well odd....
Here is a couple examples:
This first one was taken at around 60 ft, in not very clear, green/blue water:
Here is what it looks like with white balance correction (no strobe was used)
This next one show the limits of doing this:
This was taken deeper, on an overcast day...clearer water, but there was not enough natural light to completely correct everything:
and now with white balance adjustment:
The fish is the right color, but the background is washed out...
I did these with a camera that shoots raw, so I could do before and after images... you need to not make the before ones.