Note Catalano's observation toward the end of the story: "He reeled off the model numbers, years of manufacture and other differentiating features imperceptible to those who do not play sax, and the distinctive qualities that brass, gold and silver each lend to a horn’s sound."
It appears that Buck Laughlin may have been on to something when he wrote in a recent thread that this forum is the only place where's he's encountered the (rather militant I might add) doctrine that "materials don't matter."
I think in the real world (outside the vacuum of this forum full of hobbyists and students and the opportunists who try to sell to both their cheap imported knock-offs of classic pro horns--which might explain the need to forward said argument), they matter very much to pros like Catalano--and even earlier--Zoot Sims, who famously intoned that the quality of the metal was what made his 1934 Selmer sound the way it did.