I was searching how assets are divided after divorce in Kentucky.

From what I could find out, there are two different marital property systems. 'Common law property' and 'community property'. https://www.jahlaw.com/common-law-community-property-news-and-events/

In a 'common law property state', even property acquired during a marriage can be individually owned by a spouse. From what I understand, if I buy a house after marriage, the title is in my name, I make the down payment, and I make all the mortgage, tax, insurance and all other payments, then I have sole ownership of the house.

In a 'community property state', the property acquired during a marriage is assumed to belong to both spouses.

But there doesn't seem to be any difference when dividing assets after divorce. In Kentucky, which is a common law property state, the house that is supposed to be under my ownership because I made all the payments, is still divided equally after divorce. https://www.divorcenet.com/states/kentucky/ky_art06

So, there is no difference between 'common law property states' and 'community property states' when it comes to divorce?