Looking at the Award projections on 7/1 in the league.

My closer is actually 5th in the CYA running, but 2nd in the Fireman running.

Interestingly, the leader in the Fireman running is currently only 9th on the CYA list.

Note: Of similar note, looking at the retroactive Silver Slugger Awards, my recent team takeover has a SS ( DH under me, as his prime is past) who won the MVP earlier in the decade, yet couldn't win the SS award that same year.

Note: And yes, I do figure that different calculation are likely made, but it is kind of a humorous observation to see (at least to me)