No, the savannah room is what we got upgraded to. Both times we were upgraded, we had a pool view and got upgraded to a savannah. When we already had a savannah, we were never upgraded.
The only thing I would recommend is one time, when we did have a savannah, the view wasn’t as good as it could be as far as seeing animals. It just took a phone call to the front desk telling them we weren’t too pleased with the view. They asked us to come back to the front desk, and then she showed us three other choices with better views. The one we picked had a feeding station right out the balcony, so giraffes were there all the time.