With the majority of the afternoon groups not yet to the turn in their second round, it's hard to line up the field at Bellerive Country Club in St Louis.
It was the four-time PGA champion's lowest final round in a major.
Scott had one last chance to force some drama on the last hole, but a six-foot birdie putt on the 17th green that would have put him within one shot of Koepka curled wide of the cup.
Brooks Koepka had his rivals on the ropes but could not deliver a knockout punch and had his lead whittled to two strokes over Adam Scott after the third round at the PGA Championship on Saturday.
Woods said he had trouble judging the speed of the greens, especially on the back nine, and his three-putt on 17 was the result of an over-correction.
"Our captain has some decisions to make after the first [FedEx Cup] playoff events, and we'll sit down and give him our input and what we think and who should be on the team, and who can contribute to the team", Woods said, "and hopefully my name will be part of that process".
It looks like we're all going to have a hell of a lot of fun finding out.
A roar resounded across the 7,316-yard layout when Woods dropped a six-foot birdie putt at the par-5 eighth to pull level with the chase pack behind Koepka and Woodland.
Woodland immediately recovered the stroke he lost to par by draining a 19-foot birdie putt on No. 3 to move back into a tie with Koepka, who birdied No. 5 to regain sole possession of the lead. That's just the nature of the way it's playing right now. "I made a bit of a run". But he answered with four solid rounds at Bellerive, capped by a 69 Sunday that left him with a top-20 finish, while closest pursuers Bryson DeChambeau and Phil Mickelson missed the cut.
Woods, whose earlier charge on the easier front nine raised the massive gallery's excitement to fever pitch, was among a logjam of six trailing by four shots.
Four-time major victor Rory McIlroy, whose morning 67 was highlighted by a 58-foot chip-in at 14, had three bogeys against two birdies over the first 10 holes in round three.
At the 17th, after ramming his eagle putt through the break, he missed the 4-footer coming back.
It left a sense of anti-climax, but Woods is still within reach of his 15th major, a situation few would have predicted at the start of a year which has seen the 42-year-old resurrect his career after debilitating injuries.
Having struggled for long stretches this year, Lowry was back to his very best and his putting was sublime.