So, this point was brought up when talking about
's burrowed Q and as to why it scales off AP, one of the major reasons that AD champs getting AP scalings on their abilities is limiting that champs ability to snowball. When an AD champ scores a kill, they tend to get a level advantage and extra gold, this contributes to buying AD items and having higher ranks on abilities, making it easier to go back and get another kill. Whenever you get AP scalings on their abilities, while levels make it better, the abilities damage doesn't increase along with the item purchases, limiting an AD's ability to snowball, if only a little bit.
Edit: Riot's design philosophy has also changed over the years and some AD champs have random AP scalings on some of their abilities, like the fact that
's Q has an AP scaling in it along with its AD scaling.