I've read quite a bit on the forums over the years I've been on BB, but I'm not sure if I've ever seen anyone talk about this. For every game we get to decide if we want t sit our players in foul trouble or let them play.
Early in my BB career I played Sit them....but quickly changed to Let them play, and have stuck with that. In my opinion, the GE factors in a number of things when determining the outcome of games. I think there are certain scenarios where a favored team might have a better chance to steal a game according to the GE if certain variables occur....Like if a player had a great shooting streak, or an injury occurs, or foul trouble.
So to me, "Sit Them" just gives the GE another variable to use against me to allow the other team to beat me. Because if I have a quality player pick up 2 quick fouls, and the GE takes that player out, and then my backup gets scorched I may end losing that game....but if that player with 2 fouls stays in the game, perhaps he won't pick up another the foul the rest of the game, or maybe just 1 or 2 fouls, and then it turned out there was no reason to sit him anyway.