The percent of households owning homes is stable and has been for decades. That is a fact. That undermines your narrative and is verifiable as the government publishes this data.
The big difference is homes are both larger and smaller than in the past. Single family homes are larger in the suburbs. But in urban areas smaller sized households and lack of land means people opt for condos and other high density housing and always have.
There are also more people in America, so that translates into more people owning homes and more people renting at the same time.
So if institutional ownership of housing is increasing and household ownership is stable, that argues that non institutional owners of rental real estate are exiting the market. People like my wife and I that own six rental properties are being replaced by institutional buyers. That makes sense based on changing lending criteria. Since 2010, it has become very difficult to borrow for investment properties.