Yes. Every AKL room has a balcony. I was there for the first time two weeks ago.
Each balcony has at least two chairs and a table.
The non-deluxe rooms have balconies that are perhaps 3 feet wide. I'm not sure about the size of balconies in the deluxe rooms and suites.
IMHO, the pool view balconies are not worth the extra $$. It seems that most of them either overlook a roof, or are so obstructed by trees that you can't see the pool anyway. OTOH, almost all of the Savannah view balconies are great. Eating breakfast on the balcony while watching zebras and giraffes is indeed a rare experience.