We stayed at AKL over the past two weeks (first half of September)... and can tell you that it was the far end of 'Zebra Trail' in Jambo House that was still closed off and undergoing refurb work.
It honestly was not noisy and not an issue at all. We actually were in one of the rooms closest to the work area, and had no interior noise issues, and saw plenty of animals out on our savannah view. The work goes on mostly during mid-day when the majority of guests are at the parks, but even then we could only hear construction noises on occasion whle outdoors.