And your information is wrong in any case.

"The real reason behind the name is thanks to Barney Dreyfuss who was the owner of the Pittsburgh Pirates. In 1903, he wrote to the owner of the Boston Red Sox challenging them to a ‘World’s Championship Series’. The Pirates were the best team in the National League and the Red Sox were the best in the American League.

The games went ahead and Boston won the series five games to three. Over time, the 'World’s Championship Series' name has been shortened to the World Series and has been played every year apart from 1904 and 1994."