There are some strong accents that could pronounce them similiarly, the islands / getting close to irish could pronounce the "air" in "barn". But in general / central belt those words are pronounced differently
I was more implying that the Swedish pronunciation of its "barn" is more like English "air". (For some Swedish dialects.) The takeaway, when comparing related languages, don't think too much about spelling. Compare how actual people say words, and you will often find striking similarities.
