By a recent count, there are 32 different classes of superconducting materials, only 12 of which are generally believed to be "conventional", i.e. described by the conventional BCS-electron-phonon theory of superconductivity. In this perspective I critically examine the successes and failures of the conventional theory to describe conventional superconductors, and discuss what is understood and not understood about hydrogen-rich materials claimed to be high temperature conventional superconductors under high pressure. I argue that the current state of affairs calls for dethroning the conventional theory of its privileged status and seriously explore the alternative possibility that a single theory, different from the conventional theory, may describe superconductivity of all materials in a unified way.