What’s the purpose of const swap() function?

This was introduced in the “zip” proposal P2321 originally described in “A Plan for C++23 Ranges” P2214.

P2321

• swap for const tuple and const pair. Once tuples of references are
  made const-assignable, the default std::swap can be called for const
  tuples of references. However, that triple-move swap does the wrong
  thing:

  int i = 1, j = 2;
  const auto t1 = std::tie(i), t2 = std::tie(j);
  
  // If std::swap(t1, t2); called the default triple-move std::swap then
  // this would do
  auto tmp = std::move(t1);
  t1 = std::move(t2);
  t2 = std::move(tmp);
  
  // i == 2, j == 2
  

  This paper therefore proposes adding overloads of swap for const
  tuples and pairs to correctly perform element-wise swap.

P2214 explains why const assignability is needed for the implementation of zip. It stems from assignment operators not being ref qualified.