Voting is even more about identifying who didn't win than who did win. In a multi-member district a much smaller slice of the electorate 'loses', making it much easier to build broad consensus around results.
Some of the sharper edges of many ranked choice or scoring voting systems are blunted by multi-member districts. They are not winner-take-all, so small changes in expressed preference that would have changed the winner in a single member district just re-orders the winners. Specific candidates could still find themselves losing when another system would have elected them, but the electorate as a whole still ends up with representation they can tolerate.