Lambda capture as const reference?

In c++14 using static_cast / const_cast:

[&best_string = static_cast<const std::string&>(best_string)](const string& s)
{
    best_string = s; // fails
};

DEMO

In c++17 using std::as_const:

[&best_string = std::as_const(best_string)](const string& s)
{
    best_string = s; // fails
};

DEMO 2

const isn't in the grammar for captures as of n3092:

capture:
  identifier
  & identifier
  this

The text only mention capture-by-copy and capture-by-reference and doesn't mention any sort of const-ness.

Feels like an oversight to me, but I haven't followed the standardization process very closely.

Related