Such was the sense of remorseless inevitability about Scheffler's fourth major triumph by four shots over the field on Sunday, his pursuers were reminded of the dominance of Woods.
"I don't think we thought the golfing world would see someone as dominant as Tiger come through so soon, and here's Scottie sort of taking that throne," said Bryson DeChambeau, while dethroned champion Xander Schauffele smiled: "People are shy to say it, but he's doing some Tiger-like stuff."
But the comments left the modest 29-year-old Scheffler responding about the comparisons on Sunday night: "I still think they're a bit silly.
"Tiger won, what, 15 majors? This is my fourth. I just got one-fourth of the way there.
"I think Tiger stands alone in the game of golf. He was inspirational for me growing up. He was a very, very talented guy, and he was a special person to be able to be as good as he was at the game of golf.
"I don't focus on that kind of stuff. That's not what motivates me. I'm not motivated by winning championships. I don't look at the beginning of the year and just say, 'hey, I want to win 'X' amount of tournaments, I want to win whatever it is'.
"I have dreams and aspirations that I think about, but at the end of the day I feel like what motivates me is just getting out and getting to live out my dream.
"I get to play professional golf, and I feel like I'm called to do it to the best of my ability."
There were a few faint echoes of earlier in the week when Scheffler gave the pre-tournament news conference that reverberated beyond his sport when he said his biggest golf triumphs weren't "fulfilling from a sense of the deepest places of your heart."
On Sunday night, when the subject was inevitably raised again, he was adamant he hadn't been disrespecting the game or making light of his achievements.
"It really underestimates what I was trying to communicate. Maybe I didn't do as effective of a job as I hoped to in communicating that," said Scheffler, who again paid tribute to the importance of his loving family.
"At the end of the day, I have a tremendous amount of gratitude towards moments like these.
"I literally worked my entire life to become good at this game and play this game for a living. It's one of my greatest joys of my life to compete out here.
"This is amazing to win the Open Championship, but at the end of the day, having success in life, whether it be in golf, work, whatever it is, that's not what fulfils the deepest desires of your heart.
"Am I grateful for it? Do I enjoy it? Oh, my gosh, yes, this is a cool feeling. It's just tough to describe when you haven't lived it...."
