Internationals captain Nick Price went into bat for 29-year-old Day, saying he was "gassed after such a big (US) summer". He hasn't played in a major in more than two.
Woods said he welcomed the chance to serve as an assistant to U.S. captain Steve Stricker, alongside fellow assistants Fred Couples, Davis Love and Jim Furyk - and to lend a hand where possible to young players like Jordan Spieth and Justin Thomas.
Doral's outspoken owner, Donald Trump, was in the middle of a heated and polarizing presidential race, but that - officials regularly said - had nothing to do with the move away from Doral. "There's a lot of risk/reward golf out there, and I think we're going to see a lot of holes changing hands rapidly".
"I think the same reason that we have our flag, our freedom, the people that fought for our right to be able to do that, those guys (in the NFL) have their right and freedom of speech to do what they want", said Fowler, 28.
You'll see respect for our country no matter what's going on."And then, we can protest with our votes, with letters to our congressmen or however we want".
Against this backdrop, the actual status of the competition and its lack of meaning will be overlooked.
However, US golfers have struck a more conciliatory tone.
Day, who was the No. 2-ranked player in the world in 2015 and coming off a five-victory season, went 0-4-1. In 2003, a 17-17 tie transpired with Jack Nicklaus and Gary Player as respective captains. For the Internationals, Adam Hadwin and Anirban Lahiri, both captain's picks, will sit out the Thursday proceedings.
Here is the rub. He comes into this week as No. 7 in the world, still the second-highest among the global team players.
Woods last played in a tournament at the Dubai Desert Classic in January, withdrawing with back spasms. The PGA Tour itself presides over the Presidents Cup - in contrast to the Ryder Cup - and therefore dons public relations belts and braces.
A squad led by some of the world's best players, including FedEx Cup victor Justin Thomas, Jordan Spieth, Dustin Johnson, Rickie Fowler, Brooks Koepka and Patrick Reed, has the United States looking to improve to 10-1-1 in the Presidents Cup as heavy chalk. The American team's lowest-ranked player is Phil Mickelson at No. 30, and generally American depth has prevailed in the cup.