Coming off their strong performances at The Players Championship, Kuchar, Spieth and Walker are also scheduled to play in Dallas.
Former Masters champion Adam Scott, who was also affected by the ban, joked: "I hope he doesn't putt too well with that thing up his arm or they'll ban that, too". None could do enough to catch Simpson during a week of low scoring at the final Players Championship in May. This is the first time the event is being held on this course, as Billy Horschel won the event past year at TPC Las Colinas, where the Byron Nelson had been held since 1983.
'But now I feel like I've got my playing feels and I'm playing tournament golf and I've got it.
"It feels great. I am exhausted".
I guess it is further evidence of how good Tiger was that earlier in his career he didn't miss a cut for eight years.
Woods could have made it much more suspenseful by making birdie at the hard 14th, a hole that has given him trouble in recent years.
Oh, and you know that annoying, worn-out one-liner that's always been muttered on every single golf course across the world? 'And one of my goals is to get into Akron [the name of the course used at Bridgestone] one last time before we leave there.
You've got to crawl before you walk and jog before you can run, and I think Tiger has been through those stepping stones.
Woods' brilliant 65 on Saturday was a flawless example of where his game is right now.More news: Iran diplomat visits China for talks on nuclear deal crisis
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But it is what happened immediately afterwards that leaves cause for concern. Instead, he spun the wedge off the front of the green and ended up with a bogey.
In his pomp, Woods' competitive instincts would have ensured no such inaccuracy would creep into his game at such a vital moment.
The 42-year-old has now finished in the top 15 in four of his last six starts in a PGA tournament and moved up to 80 in the world rankings, having begun the week in 92 place.
But, make no mistake, he is surpassing all expectations and is in good shape to be contending for titles through the summer months. He bogeyed the hole on Saturday. On the Sunday, he covered the same stretch in six under.
Golf has its answer to technological advances in ball and club manufacture; play Sawgrass every week. I didn't start putting better immediately, but it's what led to using the Kuch-style putter.
"He hit some monster tee shots, incredible iron shots and the freedom with which he did that we just hadn't seen".
This is in part because golf is struggling to sell its new stars who are no longer afraid to take on Woods and his mystique.
"The question is when is he going to play again?"
"He'll win sometime soon enough", Spieth was quoted as saying by ESPN.
"I want to build on it and be in contention more in big tournaments", Simpson said. "But to come here against this field and put up some good numbers the first three days and do what I needed to do today to get it done, I'm so happy". "There were a few hiccups but that's the game of golf".