Scott:
Let's look at the records of Westwood, Donald and Stricker:
Westwood: 21 Euro Tour wins, 2 PGA Tour wins, 2000 Order of Merit winner, 3-time Euro Tour player of the year, 7 Ryder Cups (5 times on the winning side, and he's been a key player in nearly all of those wins), 4 Dunhill cups, 8 top-five finishes in majors (including 2nds at the Masters and British Opens).
Donald: 5 Euro Tour wins, 3 PGA Tour wins, 3 Ryder Cups, 2 World Cups, 4 top-five finishes in majors (but never a runner-up).
Stricker: 11 PGA Tour wins (and some strong fields in some of those, notably the '11 Memorial at Muirfield Village, the old Colonial in '09, and the Western in '96, plus the match-play win in '01, and 2 Fed Ex series wins, which -- regardless of what you think of the Fed Ex series, have strong fields), 2 Ryder Cups, 3 President's Cups, the '96 Dunhill cup (winner), 3 top-five finishes in majors, including a 2nd at the PGA.
On balance, I'd say the order of best-player-to-never-have-won-a-major among those three is: Westwood, Stricker, Donald. I'd say Westwood is clearly the choice among the three, given the depth of his success on the Euro Tour, his outstanding Ryder Cup record, and being in contention more often in majors than the other two.
But I'd also give the nod to Stricker over Donald -- more wins overall, against some strong fields, and similar performances in majors. Yes, he's been at it longer -- Stricker's 10 years older -- but the argument is: Who's the best right now not to have won a major? Donald's a consistent performer, but regardless of his world ranking, he doesn't have the body of work that really matters -- such as wins -- to make the argument on his behalf hold up.
Someone who rarely gets mentioned in this debate is KJ Choi -- 8 PGA Tour wins, including a Players Championship (which Westwood, Donald and Stricker have never won), 1 Euro Tour win, 2 President's Cups, and 4 top-10 finishes in majors. He at least belongs in the conversation.
George: I'd disagree somewhat with your view on best-player....no-major being someone somewhat over the hill. Both Corey Pavin and Mickelson had that tag for a while, and both were at or very near their prime playing careers (Pavin -- 35; Mickelson -- 34) when they finally broke through.