Custody, possession schedules, who gets to pick the school, who gets to make medical decisions for the kids, who decides if they ought get braces, who decides what extracurricular activities the kids are in and which parent has to take them, which parent can hold the kids passport and what counties can they take them to, geographical restrictions, morality clauses, right of first refusal, and on and on and on...
The vast majority of cases that got to jury trial are custody cases... rarely property issues.
(Indeed, in most states you aren’t even entitled to a jury trial on property issues.)