As a point of reference, I just watched a video of a non-native speaker speaking Hungarian: https://www.youtube.com/watch?v=S44KrRp7QgA

He's trying really hard, but it's like nails on a chalkboard listening to him. It's worse than a bad computer text-to-speech converter.

Hungarian is one of those languages where it is shockingly difficult to learn to a level where you're intelligible at all, and learning to be fluent as an adult is borderline impossible. I've never met a person who has managed it.

For comparison, I once came across some Dutch primary school teachers on holiday that were more fluent in English than most native speakers that I know. They had a bigger vocabulary and used more complex sentence structures than I was used to from the typical locals. They had a mild, barely detectable accent.

Not all languages are equal!