Every society (another name given to txokos) has its own rules which are agreed upon by their members. There might be a vanishingly small number of societies where women are still not allowed to cook, but this an extremely rare exception rather than a widespread fact.
> sang a traditional Basque song called Hegoak (The Wings)
Note the name of the poem and later popular song is "Txoria txori"[1] (the bird is bird), which was written by Joxan Artze. The most well-known sung version is by Mikel Laboa[2].