My point was that there are a number of non-class based systems that did not seem to lack the tools you were talking about, so I needed to see if I had to disagree with you. Since you were talking in the context of class based systems, I didn't need to do that.
My point is that this is the minority as very few games can handle ASOIAF out the box.
So without giving a specific system, chances are Player 2 will be more work to deal with than Player 4.
Because games tend to need to be specifically made to balance a Jamie Lannister type PC with a Cersei Lannister type PC and a Tyrion Lannister typed PC.