I thought they had a section for those that contributed to the sport without being great players, or even players at all. For example, if Jeanette Lee was not a good player, her promotion of pool should still land her in the HOF. I think Mataya was good enough of a player combined with a promoter of himself and pool to be at least considered.
He was NOT a good enough "player". That is indisputable. His tournament record stands nowhere close to HOF status. The monsters in the HOF (and quite a few of them who never got in) would have spotted him the 7 easily, and beat him all day long. Louie Roberts, the guy the Action Award at DCC is named for, would have beat Jimmy like a drum. And Louie couldn't beat Buddy Hall. And Buddy Hall in his prime probably couldn't have gotten there against the vast majority of the players making it into the HOF today.
As far as who he beat gambling? Who cares? There's always a subtext to that sort of thing. One player is high as a kite, and has been up for three days on amphetamines, and tries to spot someone like Jimmy what they normally do, and gets crushed. Doesn't mean anything. And Jimmy is gonna tell everybody he beat him fresh as a daisy, because that's his schtick. Minnesota Fats beat Richie Florence out of $20,000, too, getting a ball or whatever. But Fats had birddogs watching though, and he always walked in the door just as Richie was getting ready to call it a night after being up for 36+ hours gambling. This was a game Fats could NOT win "straight up", if they were both fresh. You don't get in the HOF for being a smart gambler. At least not the one we are talking about here.
As far as promoting the game... Go to league tonight and ask a few APA 4s to name a few pool players they have heard of, from any era. Numerous will say Minnesota Fats. A few might say "The Black Widow". None will say Jimmy Mataya, or "Pretty Boy Floyd". He promoted HIMSELF, and the only people who ever heard it were other hardcore pool players.
And there's your answer. You don't get in the HOF for having a big personality, and shooting a "good" game. You get there by mowing down champions left and right, tournament after tournament, for a LONG time, or you get there for being a big enough figure that you inspire lots and lots of people to pick up the game. Or entertained millions on T.V.. Jimmy Mataya was none of the above.
And therein lays the answer to this question.