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just look at save leaders... not many near the top of that list... that tells you they don't keep that role for very long... except for a few, like dawnbtvs said.
30-40years of heavy closer use since the 80's? 6 players have >400 saves. that is a volatile role no matter age or anything else.
you definitely can't use the human eye and trust its perception of who's doing what... so, i'd get real evidence that "too" many are losing their jobs for that reason (which is another difficult proposition to prove) and then do a similar analysis to a large period of time in the RL MLB too.. if significantly differnet, you have a real qualm. otherwise it's a feeling that equates to a random stab in the dark.
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