"I thought it was great", said Woods, who matched the round of his playing partner in PGA Tour's Player of the Year Justin Thomas.
Woods went out in 31 in his second round, but four bogeys and not a single birdie saw him plummet down the leaderboard with nine holes to play on quickening greens at the Albany Golf Course.
Making the 10th comeback after an absence of 10 weeks or more of his career, the former world No 1 needed a fortunate bounce to keep his opening tee shot on the fairway before pitching to 12 feet and narrowly missing the birdie attempt.
If the 41-year-old had stirred the memory bank with his first-round 69, then with three birdies in his first four holes, he switched on the mixer and made all the high-points of his career suddenly pour over back into the consciousness. "That was nice to make to keep the momentum going", he admitted afterwards.
The 14-time major champion's challenge faded on Saturday, though, as he endured an almighty struggle with the wind up on the front nine to slip back, hitting the turn in 40 to drop to three under.
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He shot five birdies and two bogeys to trail England's Tommy Fleetwood by three shots in the Bahamas.
"I did not know what I could do", admitted Woods.
"Tiger is back", Carter said of Woods' Thursday performance.
Fleetwood is making his first start in the 18-man tournament and will look to cap his breakthrough season with another victory before getting married on Tuesday.