LASIK is essentially an automated surgery and 1-2 million people get it done every year. Nobody even seems to care that it’s an almost entirely automated process.
Any intervention, heck even jogging around your house, has a risk. The only important question is: are there less automated errors than human errors? If yes, here's the progress we asked for.
Full anesthesia - yeah, not an option, you need to be awake. Something milder - it could be an option (depending on the state, maybe? not sure, mine was done in WA).
Neither me nor my friends (all of us who got lasik) asked for it, but my clinic gave me valium, and my friends’ clinic gave them xanax shortly before the procedure.
Tangential sidenote: that was nearly 8 years ago, and I am absolutely glad I got it done.