I was getting mixed up between major league issued sets and major leagues when you brought up Cy Young cards. Sorry about that re: Kid Nichols.
Accounting aside, there is a very practical way of looking at things and that's by looking at what happened. The Federal League was obviously not part of MLB or it would have participated in the league's play, which did include participation from both the American and National Leagues. You can define major league baseball in your own way but you cannot say the Federal League was part of one overall league. It was not.
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