(1) Quoted from james:
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.
In the above two examples, the foreground subject will look EXACTLY THE SAME however the ambient exposure will be different.
So in essence, your choice of strobe is affecting your ambient/background exposure.
and (2) quoted herbko:
Just in case you're not confused by the above, if you choose a color temperature white balance setting for your camera or raw converter, increasing the temperature will make your photo look more red. That's because the camera or software assumes that your light source is at that color temperature and compensates to give the "true" color for the subject.
Higher color temperature source -> more blue in the light -> photo is shifted to the red to compensate.
Here comes my consideration:
if the above is true saying that basically the picture will differ for color temperature in the background area (opposed to the same foreground) by 2 strobes with different color temperature (as per quote 1)
AND
the higher the color temperature setting in your camera is (let's say by setting it to the higher strobe temp like 5500 K vs 4300K) vs the real color temperature which is actually in the water (especially in the background), the more reddish (warmer) your picture will be.
Example:
strobe 1 color temp = 4300K
strobe 2 color temp = 5500K
actual background color temp = 4000
camera setting 1 = 4300K
camera setting 2 = 5500
result: picture 2 will look warmer in the background than picture 1 (with the same foreground) since color setting in picture 2 is higher than in picture 1. However, both pictures will look slightly warmer than neutral in the background, since the assumed actual color temp is lower (4000) than both settings (5500 and 4300).
That would leed us to the (premature) conclusion that finally strobe 2 (@5500) renders a warmer picture????
BUT, as I thought about, isn't it the case that the actual color temperature in the water (esp. in the background with no illumination from the strobe) is rather hiher than lower, saying like 6500K? In this case -my understanding- the 4300 setting following the 4300 strobe would produce a warmer picture in the background (since the camera will compensate more for the difference between 6500 and 4300 than for the difference between 6500 and 5500). Is this correct or confusing??? hope this post is not too long.... but if someone can confirm this, then I know that I finally got it!