Europe came from 10-6 down on the final day at Medinah last year to claim a dramatic seventh win in the last nine biennial contests, something which prompted the USGA to turn to victorious 1993 captain Watson.
Watson, who will turn 65 shortly before the clash at Gleneagles next September, told Sky Sports: "My job is simply to put together what I consider is the best possible team to win. I'm not shy about not playing people.
"If they are not playing very well, they're probably not going to play very much."
Watson's predecessor Davis Love left Tiger Woods out of the second day's foursomes at Medinah, something that had never happened before in his Ryder or Presidents Cup career.
But although Woods said he felt "fresh" after having the morning off, the 14-time major winner still lost his third match of the week with Stricker in that afternoon's fourballs before halving his Sunday singles with Francesco Molinari.
Watson added: "I've been there and know what it's like. I've been the captain of a winning Ryder Cup team and the players are no different now than they were back then.
"We've been getting our tushes handed to us, so to speak. Seven out of the last nine we've lost. That doesn't sit very well with me."