"The best big-occasion players I see in the field would be John Higgins, Ronnie O'Sullivan and Mark Selby and that's disregarding some fantastic players", Davis said.
The 41-year-old was made to work hard by the qualifier from Wallsend, and was relieved to book his place in the second round, where he will face either Shaun Murphy or Yan Bingtao.
Mark Selby celebrates with the trophy after beating Ding Junhui in last year's World Championships final.
Ronnie O'Sullivan has launched a furious attack on World Snooker, labelling them "bullies" in an ongoing row.
"You have to have a certain level of bottle to win the World Championship - there have been many players who you wouldn't fancy winning it, but when it comes to the chase they're able to perform when they need to".
EPL: Mourinho gets revenge over Chelsea, Liverpool win away
Meanwhile, Manchester United midfielder in question, Herrera, has insisted team-mate Rashford's goal deserved to stand. We need to realise it is not over, we need to realise there are points to play for, and we have to dig in.
"Mark is world No.1 and the reigning world champion - it's now his time and he's been making the most of that", said O'Sullivan, who last won the World Championship in 2013 and lost to Selby in the 2014 final.
O'Sullivan has deliberately and repeatedly given one-word answers to questions he has faced after matches, while in an ITV interview at the World Grand Prix in February he gave a series of responses in a robotic voice.
"I hope all parties can move on from this position and concentrate on the brilliant entertainment provided by players at the Betfred World Championship".
And though they have been withdrawn O'Sullivan claims he was "bullied" and "intimidated" by snooker chiefs and chose to get the lawyers involved.
"I like Barry, but I'm not being intimidated or bullied any more". I don't think I've done a lot wrong.
UN strongly condemns North Korean missile launch after delay
The U.S. and South Korea are now engaged in joint Air Force exercises, which North Korea believes to be invasion prep. A North Korean missile blew up nearly immediately on its test launch on Sunday, the US military said.
O'Sullivan has been out of sorts ever since his Masters triumph at Alexandra Palace, failing to win back-to-back matches at the five events he has played since that tournament and his trip to Sheffield.
"Hopefully, they can relax and stop being so precious, but I'm not prepared to put myself in that situation anymore".
"I love to play and it is extra special at the Crucible".
"I have tried being open and it gets me in trouble, and I have to be in the right frame of mind to at least have a chance here". I'll definitely be playing for the next couple of years.
AIADMK's ruling faction ousts Sasikala, Dinakaran and family
Meanwhile, the O Panneerselvam camp took to Twitter to express its willingness to hold talks with the AIADMK (Amma) faction. Dinakaran on Wednesday said the state ministers have chose to keep him out of the party due to some fear.