For the student, a university is effectively the university library. Access to universities, and achievement, is consistently worse for the disadvantaged. For ethnic minorities, the poor, the children of the poor, the children of manual workers, the unemployed, the disabled, and in most of Europe, women. A university is in effect licensed by the state to make these people into social failures. Inequality is the nature of a university.
Egalitarianism is incompatible with the ethic of a university.
Every category in Europe that has suffered disadvantage, has suffered at universities, now or in the past. And it is not getting better. Whatever the inequalities in society, universities amplify them, despite 50 years of government policy to improve access. The reverse is also true. Universities breed a sense of elite, because they are for the elite.