The FamilySearch changelog allows you to filter to when a relationship type (Biological, Adopted, etc.) is changed, but not to when parents are added or removed, even though that is recorded in the changelog. It seems like a strange oversight.
You are correct. I am in the process of sorting out 3 cousins with the same name all born within 3 years of each other. There is a lot of confusion as to who belonged to which set of parents. I have found myself scrolling up and down the change logs looking for all the changes to the parents. Your suggestion is good, in my opinion.