That teams can have more desire and action in going for it when they have 1 or more of these players locked in. I also see examples of teams seeming like they think they need less help because of having more than 1. Just ask Piniella. There's just no 1 way that all people react to any 1 thing. Statistically it can cover another roster mistake or 2 in having extra WAR packed into 1 roster spot.
Plotting out all of the years that the controlling teams seemingly knew what they had, how they reacted to it in roster construction and the results seems interesting to me. Also a monumental task.
Looking through those names, it's conceivable that in some universe Ichiro joined a club in 2001 that still had Ortiz, Alex, Griffey and Randy to go with. Probably no Olerud with Edgar and Ortiz. Oh well? Anybody who still wants to talk about 2001, let's talk about that possible iteration of it. Although if they were making good timely decisions like that, Edgar might also be on that list, given a couple more years of productivity.