Exactly, the movie trope is very wrong in the mechanism of action. This is no schience meme

Indeed. People don't just go limp, there is enough time to slip away. And you wake up pretty quick if you don't keep breathing it in.

Back when they actually used ether and chloroform as anesthesia, they had this little metal cage they'd put over the patient mouth to extend it away from the mouth, which would be wrapped in gauze and then have ether or chloroform dripping down to keep it going.

And if you try to speed it up by using more, you're likely to kill the patient since it depresses the central nervous system.