When Woods was Conners’s age, he had 30 PGA Tour titles. Woods’s 20s were the days when his mastery of courses and his domination of his competition combined to make him seem more machine than man. He commanded awe while appearing only remotely accessible, like a Rembrandt painting hanging in the J. Paul Getty Museum in Woods’s native Southern California.

The public assumed he would be around to admire for years and years. But then came the injuries to Woods’s knees, neck, shoulder and back. There were also the indignities, including the public unraveling of Woods’s marriage after his indiscretions were made public and a D.U.I. arrest last May for the misuse of prescription medicine.

At the Presidents Cup last September, Woods, an assistant captain for the United States team, acknowledged that he could envision a scenario in which he did not return to competitive golf. He was five months removed from back fusion surgery and had not been cleared by his doctors to make full swings. While he took his first tentative shots with his long irons and woods, Justin Rose, who finished tied for fifth Sunday, was winning back-to-back tournaments in China and Turkey.

When Woods said he didn’t know what the future held for him, fans of his golfing artistry were left to face the prospect of never seeing another of his signature masterpieces. Perhaps that explains the wildly enthusiastic receptions that Woods received here and at the first three stops of his comeback tour. In an interview Friday, Begay said it seemed to him as if fans were hungry to show Woods their appreciation for how he changed the game while he was still around to soak it in.

“Everyone loves a comeback story, and the underdog, and Tiger became the underdog,” Begay said. “Just two months ago he was ranked outside the top 1,000 and was overcoming multiple back surgeries and sort of was the punch line on late-night comedy because of everything that had gone on. But through all the trials and tribulations, he nonetheless has found a way to persevere and get back to a level of performance that is literally unbelievable.”

Brandt Snedeker, 37, has enjoyed one of the best vantage points for Woods’s comeback. Snedeker has been in the same group for five of the 14 official rounds that Woods has logged. From what Snedeker has seen, the renewed appreciation being shown Woods by the fans is being reciprocated in kind. Woods is making more eye contact, signing more autographs, smiling more.