As I understand it, the Catholic perspective would fit into “the tent,” though not everyone there would agree with some of the theological particulars of the Humani Generis Encyclical.
I would say, just some of the philosophical slants that sometimes get imposed on science or associated with the worldviews of many scientists. EC would reject materialism and scientism. I think most (all?) ECs would reject the idea that apparently random processes in nature operate independently of God’s sovereignty/will/plan/desire/providence (people have different preferred terms for what it is that God exercises to rule over his creation).
I personally have a problem with some claims of evolutionary psychology that try to reduce human behavior to selective pressures and genes. I think there is a spiritual dimension to our humanity that makes us more than the sum of our evolved parts.
Speaking for myself, I don’t think it needs to be reconciled because science and Christianity are not speaking of the same things and they don’t contradict each other. Science speaks to human biology. Christianity speaks to humanity’s spiritual condition, purpose, and destiny.
Different people have different views on the historicity of Genesis 1-3. Even some who see the narratives as archetypal or true myth may affirm that the stories describe a historic reality. Personally, I am less concerned about whether or not there was one couple named Adam and Eve who fell at a specific point in time as I am with what I think is the main point; that humans are born into a sinful identity which they inevitably actualize by their own free will, and therefore everyone needs reconciliation with God.
Maybe there was one original set of humans in history that ushered sin into the world. Maybe the story has been recapitulated by every human group that God has revealed himself to and it just so happens that the Hebrew version constitutes our revelation. I believe God has been at work reaching out to those who seek him in many cultures throughout human history. Maybe “the Fall” is representative of multiple human stories of relating to God since the dawn of God’s revelation to humanity.
Some people throw ideas around, but most admit such an exercise is purely speculative and generally requires diverging from the biblical narrative.
I think people generally make a distinction between what is often called “natural evil” (birth defects, cancer, earthquakes, predation, etc.) which is often seen as part of the necessary freedom of God’s good created order, and sin. Sin is human rebellion against God’s rule.