The article said "stop recommending" and to me that is functionally "stop providing access".
Personally, I believe for most people, the algorithm is all of Youtube. It controls what show up on the side bar and on the search page. How many people would go beyond those to find a video? By changing the algorithm, YT can effectively restricting access to certain contents.
Regardless, my point doesn't change. A corporation does not have the standing and should not be allowed to regulate moral matters. They operate on completely different principles and letting them control what a person can and cannot see or hear would not end well.