What is there to explain? Unless you use the modelling light feature, then you will not see any preview of the effect of the flash until you take the photo. The flash will not emit any light until you take the photo because it won't fire until then. Using Live View won't make any difference. The camera can't figure out what the picture will look like with the flash lighting it and then create a simulation of it in live view. If it could, we wouldn't need flashes any more.
The way I read your previous post was the flash doesn't fire until after the photo is taken, meaning the shutter had already closed when the flash goes off.
The flash doesn't fire until the photo is actually taken.

