Basque studies will easily reject that claim nowadays, which was made many years ago. However, they also reject anything that does not praise their 'un-relatedness'. The connection with the Berbers is very disputed, the one with the Irish is only based on similarities in recent genetic studies. Also, the ancient Iberian languages (the ones spoken by the non-Keltic* tribes of Spain, the Iberians inhabiting the area where mass tourism today exists, ie the Mediterranean from Barcelona to Seville) are believed to have strong similarities to Basque, though many people dispute that this proves a common origin. It may be loanwards or cultural influence.
On the other hand, even the name Basque was coined by the non-Basques, ie the Keltic populations in Northern Spain that called them Bar-sques, ie the Highlanders, since large parts of them have always lived deep in the mountains.
*I have used the term Kelt ro refer to the Bronze Age migrations that moved there before the celts of La Tene or Hallstatt and to avoid confusion with the term Celt.
