3 things make a GREAT player.
1. Tournaments won
2. Gambling prowess
3. Longevity.
In my opinion, Luther Lassiter was the greatest 9 baller to ever play. Earl was the the best tournament 9 baller, but Luther beats him in gambling ability as well as longevity.
As for background on Luther Lassiter, he was born on Nov 5, 1918 and died at age 69 on Oct 25, 1988. He was a great player by the time he was in his 20s, but, in the 1940's and 1950's, there were hardly any major 9 ball tournaments being held. By the time the Johnson City tournaments came into being starting in 1961, Lassiter was already a legendary road player. Starting in 1962 (the 1st Johnson City 9 ball tournament) Lassiter dominated the field and won the first of his 6 World 9 ball championships. These Johnson City and Stardust tournaments were the defacto World Championships and they had fields that included Harold Worst, Ed Kelly, Irving Crane, Joe Balsis, Ronnie Allen, Danny Jones, Eddie Taylor, Larry Johnson, Jim Marino, Buddy Hall and many other great players. Lassiter won titles in 1962, 1963, 1964, 1967, 1969 and 1971. Keep in mind that at this time, he was 44 in 1962 and 53 in 1971....His peak as a player was argueably past, yet he still beat very, very talented players.
Now, not only was he a great TOURNAMENT player, he was also one of the greatest MONEY players that ever lived. His favorite game was "money pool", any game he could bet on. Believe me when I tell you this, his game went UP several notches for the cash. Some players play better in tournaments than they do when they gamble, and others, visa-versa. Lassiter was a better money player than a tournament player.
So, put those two facts together, add in his longevity at the top (30+ years) and I can make a very strong case for him. This of course does not take into consideration his 4 outright World 14.1 Championships, PLUS 5 14.1 Championships at Johnson City, 5 World All-Around Championships and 1 World 1 Pocket Championship and you have a very gifted player indeed.
As for Strickland, I call him the greatest tournament 9 baller since Lassiter and he may in fact be Lassiter's equal at TOURNAMENT 9 ball. His 6 World Championships and 5 U.S. Open 9 Ball Championships is a record that I believe we will not see broken, ever. Look how hard it is for anyone to repeat or win those majors more than once. But Strickland, even though early in his career he did gamble at pool, at GAMBLING he was no match for Lassiter. So, you have two very special tournament players and one of them (Lassiter) also exceled at gambling 9 ball, so the edge, I believe, has to go to Lassiter.
As for Efren Reyes, he also has a special title. The greatest all around player to have ever played pocket billiards. He was a great 9 baller, but not "the GREATEST" and here is what I base that opinion on. In the two major championships at 9 Ball, Efren has 1 World 9 Ball Championship in 1999 and 1 U.S. Open 9 Ball Championship in 1994. Sigel has 5 WC and 3 US Open's, Varner has 3 WC and back-to-back US Open titles. Archer, Hall, Souquet and Allen Hopkins have combined major 9 ball titles greater than Reyes' 2. BUT, Reyes also has 6 World 8 Ball Championships, he is the greatest Rotation player ever, in my opinion the greatest 1 pocket player ever and he is super at 14.1. Overall, Reyes is better than Lassiter and Strickland, but not at 9 ball.
Consider this....Lassiter won 6 World 9 Ball Championships from the age of 44 till he was 53. He would have won how many more had there been 9 ball tournaments in the 2 previous decades. But there weren't any.
So, if he won 6 World Chamionships 20 years after his prime, what would he have been like from the 1940's to 1960's?
Compare that to Reyes, who has one (1) World 9 Ball Championship, in an era where for 10 plus years, there were 2 "World 9 Ball Championships" available every year! And Reyes has a total of 1. Lassiter, who didn't have tournaments to compete in until he was 44, still won 6 of them.
These are just MY opinions and many other fans and historians who love and study the game as much as I do may have differing opinions. But, once I collected all the info that I had on these great players, I feel very confident in my selections of who was better at what.