There is no accurate gauge for Babe Ruth's name being the most prevalent and widely known throughout American baseball history. He was an essential cog in the beginning machine, but that does not necessarily mean his legacy continues into the minds of young, modern baseball fans. This claim is unsupported by definitive evidence.
Additionally, home run hitting is not the one arbiter for baseball through history, and there are more aspects of the game that permeate through all of American sports culture. Slugging is one of the most exciting attributes of baseball, but pitchers' ERAs and the forever evolving defensive strategies of teams throughout the league's history are important as well. Babe Ruth was a pioneer in slugging, but to prioritize home runs over everything else is factually irresponsible. The American sports consumer enjoys more than slugging, and that has been evident through time. Babe Ruth is not automatically the most influential figure in baseball because of his home run revolution, and he certainly cannot be posited as the greatest baseball player of all time based on these parameters.