99% of the time I am walking into the water not jumping. Often I set my kit up at home and drive to the dive site with the air off.
Although I have jumped into the water with my air off that is not a reason to panic. With an inflated BCD the diver will be bobbing up in a few seconds. What is there to panic about? If a diver is panicked that easily perhaps they should be rethinking their decision to be diving?
One time I did slip off a rock while putting my fins on with a deflated BCD, double steel tanks, air on. I hit the bottom at 15FSW, could not find my second stage, didn't have an octo. 2nd stage at that time and had not got to put my fins, the BCD was borrowed and the auto-inflator didn't work as fast as I was accustomed to. I did become afraid I was going to drown in 15FSW with 160 cuft of air on my back! All I could think was how embarrassing! I had been diving for 20 years at that time and was determined not to die for such a silly reason. I shucked my weight belt and floated to the surface. Then I had to ask my still laughing buddy to retrieve my weights.
That could have been a panic situation for most anyone. I'm not sure I would have been able to control my fear if my weight belt had gotten stuck or for some reason I didn't start ascending.