It's perhaps just due to this being a too brief article, but I don't buy the science as presented. Correlation is not causation. The children that did chores at 3-4 may have grown up to have good relationships due to other factors in the family that also caused chores.
Then the Weissbourd study says nothing about chores. All it reports is the # of people that valued achievement, happiness, or caring for others more.
I don't know. I'm not arguing for or against chores, but I don't think this article made a convincing case for its headline.