The National Baseball Hall of Fame Museum’s list of inductees is largely driven by quantifiable performance. There are exceptions to the rule of “the best players get in, the not-best players don’t”, of course, but it serves as the template for induction almost across the board.
On a national level, this makes sense, because fans across the United States and the world do not have identical experiences as baseball connoisseurs, and statistics are how we can quantify things in an objective manner. For instance, as a lifelong St. Louis Cardinals fan, I have far more distinct memories of watching Jason Isringhausen playing than I do of, say, Jim Thome, but this is my experience—surely, Cleveland Indians fans (among others) would disagree that Izzy was the more iconic player.