My wisdom tooth removal taught me two things:
-Nitrous makes me incredibly paranoid. Thank God they were able to find a vein and knock me out, because I was about to start screaming.
-Percocet makes me nauseated to the point of vomiting.
If you don't already know how those meds affect you, this is not a great time to find out.
Anytime someone's prescribed an opioid is, most likely, not a great time to find out you are sensitive to it.
I definitely appreciate the point people have made about whether the surgeon is particularly skilled at reducing trauma. No doubt that's probably the most important factor, though I'm not sure how much control most people (or OP in particular) have here since cost, location, and referral systems make shopping around extremely difficult for many, and even when those are not barriers it's not very easy to get that kind of information on most oral surgeons.
I'm gonna go out on a limb and say that the four surgeons I had were average at best when it came to reducing trauma. The last one was particularly interesting: Christmas Eve (sucks to discover an impact near the holidays), 90 minute wait as one of at least 20 people in the room waiting on a single surgeon. Called to the back, local applied immediately, impatient poking to see if I was number about once every 30 seconds. After firmly holding him off for at least 5 minutes I finally let him have a go at it and he just starts hacking away at my gum. 15 minutes later he yanks it out and exits stage left without saying a word leaving me with the assistant to clean myself up. The assistant hands me a towel does some rinsing and such then hands me a scrip for ibuprofen while prompting me towards the door. Having suffered through a great deal of pain from a previous surgery that I would have described as delightful in comparison, I start making a fuss in the waiting room about how the surgeon had hacked up my mouth and next thing you know I've got a percocet scrip. As I said previously, that particular recovery wound up being the easiest thanks to all the things we planned for and did right.
If I had gotten home and discovered it was making me nauseas that would have sucked, so I get your point, but personally I'd rather take the painkiller and risk the a side effect than to take a weaker one that I know won't relieve the pain, especially when it comes to my teeth.
Finally, I have no doubt nitrous can have a bad effect on people. I would not recommend as a default, but it's definitely safer than sedation, so if someone is anxious to the point where they literally can't sit still (this was me when I got a root canal - never "needed" for my wisdom teeth) then nitrous seems to be a better option. I was fully sedated for the first two surgeries (didn't know any better). The grogginess/confusion lasted for days and led to poor decisions eg smoking, eating things on the naughty list, but worst of all, driving when I clearly shouldn't have! I'm grateful that I managed not to crash, but when I finally got all my faculties back I realized I couldn't even remember visiting my cousin who lived 15 miles away.