Thats a lot of good advice. I have turned the flash off, but I still see it. Im thinking now that maybe I just notice the led flash because Im close, but no one else will. I know the flash went off in the class room because of the expression on the teachers face.
On my Z612 the LED has a bluish cast when shooting indoors and I can definitely see it in the EVF if the light is below office levels.
The element that was new knowledge to me when I started studying your problems was that the auto-flash shutter speed went up when the lens was zoomed. It does follow a logic however as the minimum hand-hold shutter speed should go up for longer focal lengths.