Oh me, oh my! People who don't understand electricity should not answer questions about electricity.
"It's the current that kills" NOT QUITE. Voltage causes current. When resistance stays the same, the higher the voltage, the higher the current. Danger signs always say "High Voltage" for a reason.
"AC turns on and off, giving you time to let go" WRONG. 60Hz AC crosses zero 120 times per second! 50Hz, 100 times per second. That's faster than you can blink your eye, and if you think the muscles in any part of your body can respond that quickly, you're dreaming. The off-time of the AC cycle would have to be like 2 seconds at a minimum to give a person enough time to react.
"The skin effect will save your life with AC" WRONG. The skin effect ONLY applies to metal conductors, and at frequencies waaaaayyy higher than 50 or 60 Hertz. At frequencies above about 1000Hz, your nerves can't respond fast enough, which means you don't FEEL the current, but there's still a current which can cause nerve damage and even death.
The bottom line is that it doesn't really matter. At a high enough voltage to overcome your body's internal resistance, AC or DC can cause damage. AC tends to hurt a bit more, but both can do the same damage.
Experience and education