Would an LLM trained on a smaller language have better cultural awareness etc than one trained in English? Because English is written all over the world by all

Would an LLM trained on a smaller language have better cultural awareness etc than one trained in English? Because English is written all over the world by all kinds of people, an English LLM will average that (and for instance feel a bit off for an American). But a Norwegian LLM for instance, trained on a language mostly written by Norwegians, would that feel more natural to me in comparison?