Shouldn't fish in water be hard to see?

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I've used a few ultra realistic water mods like Realistic Water II and Water for ENB. The water looks amazing but fish still render right through surface reflections. I've tried a few things to simulate the way that fish actually look in water: I tried making the meshes semi-transparent so that you can barely see them. Problem is that any value less than 1.0 makes them disappear completely (which is still a slight improvement). I also tried setting the texture transparency to 50% and reflectivity to 0. This makes them darker and not shiny which is also an improvement over the vanilla salmon that render bright white.

I am totally inexperienced but if someone has suggestions or wants to take it on as a project that would be awesome.