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The socioeconomic group that had the most deaths were people of foreign background aged 65 or more. Maybe Sweden just has a proportionally larger group of those?

Just so we are clear. You're saying that if Covid didn't kill anybody, Sweden would have seen [1] 97k - 14k == 83k deaths in the year of 2020?

[1] https://www.statista.com/statistics/525353/sweden-number-of-...

Covid deaths aren't the same as "excess deaths". It's just one of many causes of deaths over a year. Excess deaths is the difference between expected (typically an average of the past 5 years) and actual number of deaths in a year. IOW, due to the circumstances, excess deaths can be 0 despite Covid deaths being > 0.