It makes a big difference. Anoles are nowhere near as nutritional as rodents. Snakes such as Black Rats & Corns who are native to both places that do and don't have endemic populations of reptilian prey such as anoles are very different in phenotypes. For instance....Florida Corns feed primarily on anoles, tree frogs and other small prey items. Kentucky locales feed primarily on a rodent diet. KY corns attain larger adult size in the wild and are of a much thicker build. This of course is because of diet.

In captivity, Black Rats adjust perfectly to a diet of strictly rodents. There is no good reason to feed anything else if the snake willingly takes rodents. It would be like living off of Doritos and White Castle burgers when you could be living off of Steak, Veggies, and other parts of a balanced diet. You see my point?