Woods says his 70 is the highest score he could of shot on a day when he saw a bevy of putts lip out.
Kaymer is seeking his first win on Tour since the 2014 US Open.
Haney’s comments has gotten him a suspension from the SiriusXM PGA Tour radio channel.
Woods is playing for the first time since missing the cut at the PGA Championship.
Tiger has not played competitive golf since winning the Masters last month.
Koepka has lifted two of the past four Major trophies entering into the PGA Championships.
Denny McCarthy of the United States posted the day's lowest score, taking a one-shot lead with an eight-under-par 63.
The Wells Fargo Championship is set for an exciting finish as big names trail the leaders.
Bhatia, ranked eighth on the world amateur list, won the Jones Cup last month in a playoff.
Woods, who has broken 70 in the opening round only twice in 15 events in 2018, said less-than-ideal yardages were to blame for his lack of precision with his approach shots.
Koepka, 28, is returning to competition for the first time since sealing the third major of his career at the PGA Championship in St. Louis a fortnight ago.
Snedeker finished with a four-shot lead over Ryan Moore and John Oda at Sedgefield Country Club in Greensboro, North Carolina.
Woods has already been selected as non-playing vice-captain of the Ryder Cup team.
Woods has been pressing to play for the US Ryder Cup team but must win the PGA to automatically qualify for the squad going to France next month to defend the trophy against Europe.
The 28-year-old Englishman lifted himself to two-under par for the third round at Bellerive Country Club and into a share of 20th at five-under par for the event.
Woods ran off three birdies in four holes Friday to stand 3-under through seven holes for the event when storms stopped play Friday at Bellerive Country Club.
Former world number one Woods, who led on Sunday at last month's British Open before settling for a share of sixth, opted for recovery after playing last week's WGC Bridgestone Invitational.
McIlroy has risen to fifth in the world rankings, trying to claim his first major title since the 2014 PGA.
Johnson will be competing for fans in a lineup that includes a playing group of the year's three prior major winners -- Francesco Molinari, Brooks Koepka and Patrick Reed.
An elite field with 98 of the world's 100 top-ranked players gathers at Bellerive Country Club for the year's final major tournament, which starts Thursday.
Thomas secured his place Sunday by winning the WGC Bridgestone Invitational, joining world number one Dustin Johnson, Masters champion Patrick Reed and two-time US Open winner Brooks Koepka.
It was Woods' worst weekend on Firestone's South Course since a 75-77 finish in 2010.
The trio made the most of perfect morning scoring conditions, finishing the second round on 11-under 129.
Poulter had eight birdies without a bogey to hold a one-stroke lead over Americans Kyle Stanley and Rickie Fowler.
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