It’s not a rule that in order to have sustained success a team has to have a really good catcher. Sure does help, though.
The White Sox provide a good example. During the amazing 17-year stretch of winning records from 1951 to 1967, they had Sherm Lollar behind the plate most of the time, from 1952-63. Lollar was a veteran when the Sox got him, but he stepped it up to Gold Glove levels when manager Paul Richards told him to depart from his natural quietness and become a vocal team leader.
Of course, being the White Sox, having a great catcher didn’t always work (witness the so-so records with Carlton Fisk), but the rah-rah bit did.