So, then we don't need to control for preexisting emotional conditions to find that abortion is harmful for emotional health.
Well, I looked at the paper and the methodology. I didn't read it all. However they did find a cluster of childhood factors that correlate. They indicate an atmosphere that would not make one expect one to be ready to make good decisions. My thinking is that having an abortion is an extreme outcome that indicates a string of weaknesses or inabilities to make good decisions. Maybe I see it that way partly because I was a teen before the pill when dating was a contest between girls who drew the line and boys who used every trick to push the envelope. Back then the consequences were so awesome that very few failed. Unfortunately, the consequences are still dire, but many don't have the tools they need because the attitude that kids will have sex, anyway is negligent imho.