parents' home, getting a job, getting married and having a child.

Grouping those stats is pretty much clickbait as they're completely different. This is the data from the paper:

In 2005, living away from parents was the most commonly experienced milestone, with about 84% of 25-34 year olds living independently. By 2023, this percentage declined to 81%. Labor force participation became the most common marker of adulthood, with about 86% of young adults reporting being in the labor force in 2023. The share of young adults who completed their education by attaining a high school or college degree increased by 9 percentage points between 2005 to 2023, from 74% to 83%. Family formation milestones, on the other hand, were experienced less often. In 2005, about 62% of young adults had ever married, a share that declined by 18 percentage points to 44% by 2023. Similarly, the proportion of young adults who lived with a child in the household decreased by 16 percentage points from 55% to 39% over this 18-year period.

Which shows that: yeah, most young adults have a job and most young adults move out of their parents' home. It's really only the family formation milestones that are down. (Who can blame us though, in this economy)