And to add to all of that, pro- and anti-inflammatory categorization is also a simplification of the mechanisms that are happening. Sometimes, it is an extrapolation of in vitro experiments but then it is not clear whether oral consumption would have similar effects, for example. I have not seen smoking-gun level of evidence of the benefits yet. But to be fair, it is easier to figure out harmful stuff (for the most part).
I would not glamorize European diets too much, though. The US sticks out but the trends are not great in many, if not most countries. In almost all countries obesity rates are increasing, but I think in countries with a strong food culture the rates tend to be a tick lower. It depends a bit on the precise measure, though.