Depending on where you stay, the prime convenience at least for me is the walkability to Disney Springs - this works out best if you stay in Congress Park, or request the building in Paddock right across the street. If you stay back at Grandstand, you can walk over to the main building and boat dock fairly easily, so that's a backup option too.
The boat transportation connections are nice too, if you're not on a mission to spend all the time in the parks. For regular Disney visitors like myself, I spend some time roaming other resorts, and enjoy boat transportation for the relaxing and scenic trip. It's nice, for example, to take the Disney Springs boat over to Port Orleans French Quarter for coffee & beignets, then boat back to Springs, and walk back to Saratoga.
For going to certain parks, you can also take a slow and relaxed method from Saratoga with less crowds on the busses by walking to Disney Springs, and catching a bus to the resort closest to that park, and walk in to the park from there. For example, going to Epcot, rather than jump the Epcot bus at Saratoga, I'll walk over to Springs, take the Beach/Yacht or Boardwalk bus to that resort, then walk in through International Gateway. For Magic Kingdom, I'll walk to Springs, and take the Wilderness Lodge bus and then to the boat into MK, or the Contemporary stop and walk over to MK.
I definitely wouldn't spend more intentionally to request this resort - but as a DVC member who lives in Florida, I end up going up to Disney every few months, sometimes on very short notice...which means sometimes the only DVC still available is Saratoga...so I've stayed there quite a bit. I never mind it as I just utilize the Disney Spring connection, request to stay in Congress Park, and enjoy having restaurants, bars, and clubs available until the wee hours within walking distance, and having boat transportation to other resorts for restaurants and entertainment, as well as alternate transportation methods to get to the parks that are less crowded and more peaceful.