I remember doing the countdown thing and also trying to see if i could notice it at all like going to sleep. but, just like an off switch, no state change, just a full stop (but without something like "blackness"). First woke up to voices of nurses chitchatting across the recovery room and knowing everything was okay.
But as another comment put it, I can only imagine death being similar (if instant/unexpected/while sleeping/etc), just without the coming back. Which is scarier.
It was pretty weird and amazing, and never happened again. I haven't heard anyone reporting something like this, but I'm almost sure it must have happened to other people too.
I also thought about it reading the comments here.
You can't imagine it, because it lacks time. There's nothing to imagine.
In my youth, I was put similarly under for impacted wisdom teeth. I remember becoming aware of the noises and forces on my neck mid-procedure, then opening my eyes and trying to make noises and facial expressions to get their attention. I am not sure how much time passed before I heard one person say, "he's coming out", they paused their work and then it was lights out until recovery again.
In both cases, the anesthesia was explained to me in advance as mild in that my autonomic breathing would still be there, and I could probably respond to them if they talk to me, but I wouldn't remember any of it. Apparently, there is a deeper anesthesia where you are so suppressed that you need more life support and monitoring.