No one is taking into account anyone's TWTW
In terms of saves and mentality, it does take a certain mentality to bounce back. One thing I always heard about Reed that I liked was that if he blew he save, he was very upset in the locker room, but came to the ballpark the next day wanting the ball again. Thats the attitude a closer needs. It does not make him exclusive, plenty of journeyman relievers end up being good closers for a short run. It happens all the time. The number of elite closers in the game is down significantly.