I agree there isn't a homogenous working class but when it comes to politics the working classes tend to be very sensitive to ideology above all else. That ideology is what led to events such as Brexit, remember that 17 million people voted for Brexit, far more than have voted for anything in history.
Do these people now want Labour to unpick or even reverse Brexit because going off this forum that is almost what some expect to now happen with Labour in power? It is actually working class opinion (especially in the north) that is going to divide Labour and limit policy for the next 5 years. It definitely will with Farage in opposition.
You only have to look at current Labour policy on immigration for example which explicitly says to stop the boats which is incredible language for a left leaning party. This is appeasement of the working class right and it's going to be extremely difficult to maintain and struggles from within are bound to happen.
Corbyn offered the working classes everything in 2019 and in return they obliterated him because he offered the one thing that they definitely didn't want which was a 2nd referendum.
Labour's current rhetoric is targeting swing voters in the South. YouGov have had consistent Labour leads well into the 30%s, and into the 40%s, so it's going to take a huge turnaround for them to be beholden to socially right wing, working class Northern voters.
Labour's immigration policies have been too easily conflated with the Tories, particularly by many on the left - and it's usually based on misrepresentation. Stopping the boats because you don't want immigrants in the country, is hugely different to arguing that people are being exploited because of the failed asylum system in the UK.