Hi Manual,
If you shoot a 4300K strobe and set your white balance to 4300, you will end up w/ a "properly" exposed foreground and a certain colored water.
If you shoot a 5500K strobe and set your white balance to 5500, you will end up w/ a "properly" exposed foreground and a certain differently colored water.
Hello James, I thank you for the comments.
With regard to the subject of strobes changing water color and your two examples------what is changing that water color is your selection of WB, not the strobe. It is really no more involved than that. To suggest that the strobe is changing water color requires a rather convoluted digression predicated upon, in the end, the choice of WB.
I appreciate Alex's methodology, as it applies to his preferences, but obtaining the same blues he likes is just as easily accomplished with a 5500k, 4300k, 5700k or 5400k strobe with that camera set at an appropriate WB, and just as easily you can render a purple water color using the same strobes with a WB setting much much warmer than daylight. I think of strobe and WB, or strobe and emulsion, in a way very similar to balanced light photography. You must balance your strobe temp with your WB temp in a way that renders both artificial and ambient lit portions of the image to your liking. In this case none of the strobe temps currently availble on the market will preclude one from obtaining "richer blues".
To suggest only warm strobes produce bluer blues is to disregard a photographer's preference of foreground color and to exclude the use of a cooler strobe to acquire those results. Because if a shooter likes a more daylight temp in the foreground, and shoots with a warm strobe he will have to cool the image and there goes the "richer blue" the warm strobe is supposed to render.
In regard to Alex's comment that in the film days water color remained the same I have to disagree. With film your emulsion preference, just like your WB preference with digital, had a massive effect on water color regardless of strobe choice. With film, people who really cared/care about such things would, or do, choose emulsions based upon any number of properties, but one of them was almost always how the film rendered the blue water. And during this selection process one would also see which strobe rendered foreground subjects to a personal preference, but no one ever said it was the strobe choice which changed the water color. With film your water color never changed due to strobe temp, but rather due to emuslion and shutter speed. With digital it is precisely the same, except WB replaces the emulsion factor.