Let the hive mind of Engadget get that for you.
"We need a digital camera that can be switched on and fire off that first shot fast. It's not a commonly tracked statistic on any review site, and nobody seems to have this information for every camera. We were hoping other readers could inform us as to what small digital cameras can fire off their first pics in under a second (ideally under half a second). It needs to be small, but mostly, just really quick in operation. Thanks!"
No TransferJet? I'd have thought A combo of TransferJet and inductive charging would be a perfect combo for a waterproof camera. No need open it to get at the SD card or battery would mean it could be sealed for life and far more waterproof.
I've had a few waterproof camera - the weak point seems to be the access door. And drying it in the sun in a wet neoprene case so it gets steamed to death.