I hope you noticed the listing of 31 states presumptions or "apparent" presumptions xoncerning shared parenting.
Here is the section pertaining to your state:-
KENTUCKY
Case Law: Chalupa v. Chalupa, Kentucky Court of Appeals, No. 90-CA-001145-MR; (May 1, 1992).
Judge Schroder, writing for the majority:
A divorce from a spouse is not a divorce from their children, nor should custody decisions be used as a punishment. Joint custody can benefit the children, the divorced parents, and society in general by having both parents involved in the children's upbringing.... The difficult and delicate nature of deciding what is in the best interest of the child leads this Court to interpret the child's best interest as requiring a trial court to consider joint custody first, before the more traumatic sole custody.
It looks as though that is all you have to go on but it does say sole custody is the "more traumatic" scenario.
All the best, Graham