Incidentally, notice how Trey Wingo refers to Peck as "The Coach, Carolyn Peck" much in the same way Ann Meyers is referred to as "Hall of Famer, Ann Meyers." Based on the frequency of use, it is either necessary to establish their credentials (since they clearly do not have journalistic ones) or it is a contractual obligation negotiated by the respective representatives/agents/attorneys for Peck and Meyers. My vote is for the latter...
I think this is likely. Without getting into specific individuals, it is a strange but powerful tradition in America that once you hold a title (however briefly or ignominiously), you hold it forever. Thus, it is customary (e.g., on Sunday morning news interviews) for individuals to be addressed as "Governor," "Mr. Speaker," "Senator," "Coach," or some similar high-falootin' title -- in perpetuity.
More specifically, in Joe DiMaggio's last years, hosts were contractually obligated to (1) not only pay him the customary personal appearance fee, (2) but also to introduce him last, and (3) introduce him as "America's greatest living baseball player."
On the personal side, I have a very close friend who is (1) a retired US Army Colonel, (2) holds a Ph.D., and (3) is a professor (organic chemistry) at a regional university. When I asked her if whether her students called her "Colonel," "Doctor," or "Professor," she said, "Nah, they just refer to me as That Old Bitch."