(Honest question, no agenda. That sounds like something that would make me never go back to the dentist, but maybe that’s just me projecting popular dentist horror.)
When I lived in Spain I knew they offered GA there, but it usually meant paying 100+ EUR more, which is quite a lot. And europe doesn't really have a thing such as dental insurance. In most countries (Not 100% sure) in Europe you pay out of pocket for all the dentist stuff. Maybe you get a free cleaning once a year.
But other than the availability of GA and the money, I have nothing against it and would have obviously preferred that to my experience of medieval dentistry.
So I would believe your surgeon :)
Impacted wisdom teeth don't always stay impacted when they start moving too. They can straighten up when they start coming in.
[1] Hupp J, et al. Contemporary Oral and Maxillofacial Surgery. Chapter: Principles of Management of Impacted Teeth. From https://www.animated-teeth.com/wisdom_teeth/t6-wisdom-tooth-...