Rethrowing multiple instances of exception_ptr containing same exception

Is the behavior of the following snippet well-defined?

std::exception_ptr eptr;

try {
  ...
} catch (...) {
  eptr = std::current_exception();
}

std::exception_ptr eptr2(eptr);

std::vector<std::exception_ptr> eptrs{eptr, eptr2};

for (auto& exc: eptrs) try {
  std::rethrow_exception(exc);
} catch(std::exception& e) {
  std::cout << e.what() << '\n';
}

If so, does this require that the exception object itself (not just exception_ptr) be copyable?