> a misguided optimization of strcmp could do "a == b || really_strcmp(a, b)",

In practice, that's less of a risk than:

    char* x = function_that_might_return_null_and_error();
    dangerous_function();
    if (x == NULL) {...}

Or code for which pointer identity is relevant (e.g. accessing slices/subparts of a data structure):

    char* x = returns_null_or_a_slice_pointer(data_structure);
    char* y = other_function_that_returns_null_or_a_slice_pointer(data_structure);
    if (x == y) { puts("you're fucked now!"); }

And for sure there are much better ways to write both kinds of code! But people routinely do not do that.