The current usage of the term code switching refers to the action of people changing their behaviour when they are in different cultural settings, usually in order to blend in. In this sense it is most often used with reference to ethnic minority people who are interacting in predominantly white social groups.
The cartoon illustrates a relatively less well remarked upon example of code switching, which is when white working class people need to blend in with white people from higher social classes, here exemplified by the universities of Oxford and Cambridge. In education the working classes tend to have lower attainment levels than other classes as a result of social discrimination.