Most of what is in that profile is gedcom junk that needs to be cleaned up and organized. That said, I think there is good reason to list children in the biography. Genealogy is fundamentally the study of family groups and their relationships. The most important being who are the children of who. By putting the children in the biography, it allows you to get a more complete picture of the family. Who was born when, where were they living, where did they move to, etc.
It also allows you to source the children. Just like all dates, children should be sourced – how do you know Agnus Rucker was a daughter Peter Rucker? Why are there two Agnus Ruckers on that page? Did they name two daughters Agnus? Such problems are easier to clarify on the parent’s page. There are so many errors of children being attached to wrong parents – these errors are often more apparent when the children are listed together in one place.
It also gives you a place to put children for whom there is no profile. The list gives them 7 children, while the profiles only have 4. Without the list, the picture of the family group is incomplete.
Personally, I think every profile should have a separate === Birth === section (so it can be sourced), a separate === Marriage and children === section (so it can be sourced), and a separate === Death === section (so it can be sourced). After that a narrative biography is nice, but not as important as proving the relationships in each generation.
Sometimes notes on children are very important for understanding the parents, and need to be on the parents page. The list of children often is the most organized way of doing this.
Obviously, the page needs to be cleaned up but I think there are many ways to make a list of children look good, provide valuable information, and help tie the family group together.