I think animal Kingdom Lodge is a much better resort then Saratoga springs. However there are definite differences.
Saratoga springs is much more spread out. As a result there are multiple bus stops. This sounds like no big deal, but each stop can add anywhere from 30 seconds to a minute or two each time. And you may need to walk a fair distance to get one.
Animal kingdom lodges consists of two buildings Jambo house and Kidani village. Each building has a bus stop. Generally the buses come first to Kidani village then drive the few minutes to Jambo house. Distance on the road is 0.4 miles. After that they really don’t take much longer to get anywhere in the park than almost anywhere else.
Animal Kingdom Lodges are far and away the closest by bus to animal kingdom park. They aren’t that much farther from Hollywood studios or Epcot. Magic Kingdom is of course quite a ways away but it will be similar time, I think from Saratoga springs.
Of course both AKV buildings are very large and it is about a quarter-mile to walk from the far end of Kidani to the lobby. If you walk from Kidani to Jambo House, it is another quarter-mile. Unless you start on the end that is closest to Jambo.
Measurements below are estimates from Google Maps.
Distance from Jambo house to animal kingdom park is about a mile, and takes about 5 minutes.
Distance from Jambo house to Hollywood studios is about 3.25 miles, 8 minutes.
Distance from Jambo house to Epcot is about 5.9 miles, 12 minutes.
Distance from Jambo house to Magic Kingdom is about 6.8 miles, 13 minutes.
Distance from Saratoga springs to Epcot is about 3.7 miles, 9 minutes
Distance from Saratoga springs to Hollywood studios is about 4.9 miles, 15 minutes
Distance from Saratoga springs to animal kingdom park is about 7 miles, 13 minutes
Distance from Saratoga springs to Magic Kingdom is about 4.8 miles, 11 minutes
So, according to Google maps, and based on the way the roads are laid out, it looks like travel time from animal kingdom to the parks on an average is possibly just a bit better than from Saratoga springs. But it depends on the park.