What the video does say is that it wasn't until the 19th Century that abortion was spoken of as a "sin," and not by all Christian churches and not all at once.
Another source...
1537 "Abortion" seems to have come into the English language; for some time it appears to have been the general term for any pregnancy that didn't come to term human intervention or no.
1538 reference cited in the Oxford English Dictionary. "An vtimely byrthe, nigh to the conception, which may be called aborsion," is a
1547 "Abhorsion is when a woman is delyvered of her chylde before her tyme
In later centuries, abortion came to be understood as an induced miscarriage.
But for a long time, some references at least suggested a casual, morally neutral view.
"I purchas'd and gave her such Drugs as could cause Abortion, but in vain, and she grew big," wrote the novelist Penelope Aubin a woman, take note in the 1726 novel "The Life and Adventures of the Lady Lucy.
"The Women by the use of certain herbs procure frequent abortions," wrote William Robertson in his 1778 "The History of America.
After 1825, in the 19th and 20th centuries, the age of Victorians and the Comstocks, that we begin to hear about "criminal abortion" (London Examiner, 1825) and "the sin of abortion" (Salt Lake Tribune, 1900).
It was in this period, too, that abortion came to refer not to a miscarriage or a drug-induced termination of pregnancy but to a specific medical procedure involving surgical intervention.
https://en.wikipedia.org/wiki/History_of_abortion
Men only came between women and their God in the early 1800's, when males of Connecticut and Massachusetts passed laws that outlawed it. Men judged women, invented this sin, then under some "headship" rubric, came up with doctrines around "soul," "murder," etc., -- all of which helps define what is, these days, called "biblical patriarchy" by some male Christians.
To get why patriarchy is not biblical -- but only reflects cultures that existed before Abraham, Moses, Jesus, and Bible writers were even born -- that's a whole 'nother discussion.