To me Walcott was the best of the three W's closely folled by Weekes then comes Worrell.
Back to the title post I think they are all equal. Honestly I was just watching some old Lara innings on Youtube and I find it hard to belive that any batsman was his superior when he was at his best. Sobers was Sobers and his record speaks for it self, but because of his heavy bowling load he batted at 6 for a lot of his career while the others spent more of their careers in the top 4. Viv at his peak in the late 70's- early '80's was the defination of dominance, but he played on too long after he had passed his best and his best was the shortest of all of the others listed, but what he accomplished in that time was enough for him to be named one of Wisdens cricketers of the Century. Lara's biggest problem was Lara and where his mind and motivation was at, and that is where Sachin was his better, consistency. When the war began in '39 Headley was on his was to becoming the best batsman in the World, bar none, he was becoming that dominant. He was also a quick learner, his worse tour also told us the most about the man, especially how he finished off againts Grimmett and Ironmonger. He played only 22 tests but the first 19 were spread over 10 years, it wasn't as if he was given the opportunity to consistently hone his skills againts the best, but at most one series a year and againts much stronger opposition. Unlike Bradman he didn't get to play againts minnows (they were one of the minnows), and only played againts the two strong teams of the time, He didn't have the support strong batting lineup, he was out batting lineup and he played with the pressure that if he got out, more than likely the team would crumble and they would loose. 10 hundreds in 19 tests before the war. He was more attractive than Bradman and supposedly better on sticky wickets. Headley was the first and the one who created the spark of West Indies cricket.
All of them are All Time top 10 batsmen, so hard to pick, but as a pure batsman, by the slimmest of margins Headley.