Ronnie O'Sullivan accuses World Snooker board of bullying
"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.
Six-time Crucible runner-up White, now 54, and 47-year-old 1997 world champion Doherty were facing uncertain futures in the game after tumbling down the rankings.
Davis, snooker's dominant figure in the 1980s, only retired previous year during the World Championship.
Five-times world champion Ronnie O'Sullivan was given a surprisingly hard time by tournament debutant Gary Wilson, a former taxi driver, and led by a mere one frame at 5-4 in a match that concludes on Sunday.
"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". The 41-year-old has of late been giving one word answers at press conferences and even started singing Oasis hit "Wonderwall" in response to a BBC journalist's question.
Prompted by another Twitter user, O'Sullivan added: "It's defo not a wind up. they promised me I'd get a trophy and nothing yet".
O'Brien responded to the criticism by saying: "In future would I like to play like that again?" I like Barry, but I am not being intimidated any more.
O'Sullivan - third favourite behind Judd Trump and Mark Selby to lift the trophy - has been in patchy form this season, reaching four major finals, but claiming just the Masters, albeit for a record seventh time.
"I'll get on the practice table over the next few days and go and then go and watch Leicester (in the Champions League) on Tuesday night against Atletico Madrid - hopefully they can get through".
"It's important that I keep focused, keep professional, keep myself out of trouble and just try to come and do a job", O'Sullivan said.
"I've given 25 years of service to this game and I think I've given enough".
That graft at the Grove Academy in Romford, Essex, definitely seems to be paying off for a player who is an avid follower of social media. This is something I do for love, but I'm not going to do it and have people trying to intimidate me and bully me.