We can test that hypothesis. The gilets jaunes movement in France was directly driven by Facebook changing its algorithm after complaints that not enough voice was given to local views and local media. Facebook sort of cautioned about “be careful what you wish for”, and what we got was an overemphasis of local views, which then drove some of the local grievances and what people ended up seeing.
All of that is to say that you're absolutely correct. The algorithm that you have can have very real political consequences for the stability of our societies.