From Wikipedia article
Epiphyseal plate - Wikipedia, the free encyclopedia
"In puberty increasing levels of estrogen, in both females and males, leads to increased apoptosis of chondrocytes in the epiphyseal plate. Depletion of chondrocytes due to apoptosis leads to less ossification and growth slows down and later stops when the entire cartilage have become replaced by bone, leaving only a thin epiphyseal scar which later disappears."
apoptosis = cell death
The timing of estrogen level peaks coincides with when growth stops during puberty. The amount of estrogen between men and women is inconsequential, but men and women do stop growing at slightly different ages due to differences in hormones. Timing of bone plate ossification stops growth and is one of the genetic factors you speak of, but there are a variety of hormonal signals which determine growth speed and contribute substantially to height. This is a well studied phenomena, feel free to research it.
However, I am not saying that weightlifting stunts your growth. I am saying that there is a scientifically documented mechanism which could account for stunted growth via increased estrogen levels.
Again, it appears that the jury is still out as to whether weightlifting stunts growth. Steroids certainly do. I am surprised that the creator of this video did not address any of these concerns.