I just talked about this on other thread but I find the non-experience of general anesthesia to be quite comforting in two ways.

Assuming that from the first person perspective it's indistinguishable from death then it confirms that death is not just some kind of positive non-existence. You're not left floating in a black void. It's not that there's a gap in the movie that's just a blank screen. That entire section is removed. You go from one moment to another entirely skipping what happened inbetween. From first person perspective that gap doesn't exist. You never really went unconsciouss. You went from experiencing the drugs starting to take effect to waking up. Death is probably just like this except that there's no jump from experience to another but experience just stops.

The another thing about this is that maybe death doesn't stop experience. Since you cannot experience not existing then maybe death is no different from general anesthesia; you die here and then in an instant you're (what ever that is) transported having some other experience somewhere else in a different body or into whatever that can have experiences. Perhaps this is what people mean by rebirth.

IMO it's not a big deal as long as you know to expect it. If you know about it then you won't be fighting crazy hard against it and thinking that something is wrong with you that you can't make yourself fully awake. If you know about it before it happens then you know to not fight it, just relax and wait for the drugs to wear out of your system. They really should tell patients to expect the grogginess right before they're put under.