This is a weird framing because the very poorest segments of society in Europe also tend to live in urban areas and don't even own a car and rely on public transport, so it's more of a class sandwich.
The very car reliant demographic seems to be what in the United States is called the 'dream hoarder' class, which is to say the largely socio-economic isolated middle class that fled to the suburbs. The same is true for the yellow vests in France. The people participating where generally not poor, which was very obvious when one looked at the demographic makeup of the group, notably, immigrants and people of color were largely absent.