That depends.
If WDW has more birds and bunnies, it is likely WDW also has more of the critters that eat birds and bunnies too!
I recently saw a news bit about how bears are quickly taking advantage of the lack of people in natural-type state parks, so it wouldn't surprise me if other critters are doing the same. (in the other thread, someone was asking about national parks and going now, and social distancing... I didn't quite get around to mentioning the potential for critter encounters!)
Once, we wanted to walk from Ft. Wilderness back to WL after dark, and a CM strongly advised against it citing a list of critters such as coyotes that are active in the wooded areas of WDW at night. I can't say for certain that's true, but I've seen gators, snakes, armadillos, racoons, geckos, and other wildlife in Orlando.
Oh, and PLENTY of anoles! I bet the anoles are having a field day without all us pesky humans!