Why will Basques be excluded?
The answer to this will depend on what Basques are being excluded from.
The most likely meaning for this question is something like “why are Basques excluded from having their own national homeland?” If this is what you are asking, the most likely reason is because there are so few of them and because their homeland was in areas claimed by very strong countries. Today, there are only about 2 million Basques living in the Basque country, so they did not have the kind of numbers needed to fight off the Spanish or the French. This is particularly true since the Spanish and French were relatively powerful at the time when European boundaries were being drawn in their current shapes.
However, given the other questions you have asked, I wonder if you are asking why Basques should be excluded from the category of people who need help from foreign countries. The best answer to this is that they are not, objectively speaking, being persecuted to any great degree. The countries in which they live are democracies with good human rights records in the last few decades. Basques are not jailed, for example, for speaking out in favor of autonomy or independence (though there are those who are in jail for violent actions). Their lives are not in danger. Therefore, it seems that they are not in need of help to the same extent as the white farmers in South Africa that you asked about in another question.