Surely, the biggest difficulty us the term 'working class'?
WC in traditional terms, as in people that laboured, has gone. In the Victorian times, many WC people went home and in their evenings, tended their allotments, went to choir practice, art class, debating society, evening classes of all types- the evidence is all around me in the city I live in- all closed down, but the 'institute' buildings are still here, the society buildings, the community gardens and allotments, bowling greens etc. People had a life outside work, one that was rich, fulfilling and rewarding.
Life was still hard then. There wasn't a welfare state- if you had a work related injury, that was your livelihood gone (though you may have had a payout from employer).
The twentieth century, with the welfare state, universal education, two world wars, rise of 'labour-saving' technology changed life in Britain. There isn't a WC any more (well, a v few left). And people have forgotten how to work.