And you're suggesting that nowhere in what used to be called the C++ Standard Template Library is there a place where they didn't have to come up with a naming convention for functions?

I think you may have the causality swapped here; I think <algorithm> looks the way it does because they limited themselves to things that could be easily expressed with operators --- for a long time, to the detriment of the language; see: STL associative containers, operator<, and the longstanding lack of a standard hash table.