Regarding "killing ambient" as an automatic or as a "given"...
Ummmm...one poster in this thread in another thread stated that he almost always turns OFF the modeling lamps after setting the lights in their position...
With bright modeling lights, and an f/5.6 lens opening, at a slow synch speed of say 1/60 second, it's pretty easy to get ghosting, and ambient light effects from powerful in-flash modeling lights. The difference between f/5.6 and f/11 is pretty major too...in the f/5.6 aperture range, there's PLENTY of light that will add to an image (often in a bad way, but at times, in a good way) in the form of either warmer, tungsten-tinged yellow tones, or even worse, a subtle "ghost" image that is formed, kind of underneath the flash image. The idea that ambient is "killed" automatically is not always the case, especially with high-intensity, quartz-halogen modeling lights that are bright.
It's ALWAYS a good idea to shoot a couple of no-flash-fired test shots, to verify that the ambient light level is sufficiently well below (meaning darken than) the f/stop and shutter speed and the ISO in use, to make darned sure that the ambient light (fluorescent, sun, modeling lights) are not affecting the exposure in some way. If on the test shots, with the flash trigger set to OFF or the PC sync cord disconnected, if there's a faint greenish or yellowish or reddish, under-exposed image visible at the ISO, f/stop, and shutter speed being used...that is going to pollute your colors...