"unresolved overloaded function type" with static function in std::function

I am getting an "unresolved overloaded function type" error when trying to pass an overloaded static function to an std::function.

I am aware of similar questions, such as this and this. However, even though the answers there work for getting the address of the right function into a function pointer, they fail with std::function. Here is my MWE:

#include <string>
#include <iostream>
#include <functional>

struct ClassA {
  static std::string DoCompress(const std::string& s) { return s; }
  static std::string DoCompress(const char* c, size_t s) { return std::string(c, s); }
};

void hello(std::function<std::string(const char*, size_t)> f) {
  std::string h = "hello";
  std::cout << f(h.data(), h.size()) << std::endl;
}

int main(int argc, char* argv[]) {
  std::string (*fff) (const char*, size_t) = &ClassA::DoCompress;
  hello(fff);
  hello(static_cast<std::string(const char*, size_t)>(&ClassA::DoCompress));
}

Could someone explain why the static_cast doesn't work when the implicit one does?