"Logical consistency" is exactly why spell casting clerics have to be rare in a typical D&D pseudo-medieval world. A world where the average village priest can cast cure wounds is a utopia with Universal Healthcare. The average peasant needn't fear injury or disease when they can just go to the local cleric and get healed in couple of minutes. Even death would be a rare occurrence. The price of healing would be forced down to a few coppers due to the abundant supply.Well, that's precisely my point. You are looking for logical consistency, and when you start citing supposed 1e AD&D demographics as the basis of logical consistency, things fall apart very quickly.
The "conceit" in adventures like Village of Hommlet is that all the villagers with stat blocks are also exceptional individuals. D&D functions on massive coincidence. Of course, Village of Hommlet is an appallingly badly written adventure anyway.