I think you raise important points. The UK has a long record of blocking/vetoing the EU's worker-friendly, consumer-friendly legislation, much as the US does when negotiating with other international bodies. The idea that the working man - the 'have-not' - will be better off out is, I think, naive. I accept that putting a halt to wage deflation is a positive. That's good. But when you weigh that up against the free market fanaticism so beloved of most of the leading Brexiters and the loss of sovereignty to corporations that I expect to take place (and yes that's a prediction, but we're all making predictions here) - for me it pales by comparison.As much as I reason with your point, richer getting richer at the expense of the poor is as a result of government policy choices, nothing to do with EU.
Current government in the last 6 years embark on austerity policies, when we choose to fund cuts with borrowing, the poor are the only one that will suffer, the choice of what is been cut also affect the poor.
Its a choice we made as a nation when we elect the government we had since 2010, the fundamentals of conservatives is small government, no matter who leads the party, hence the cuts and sell off, they even have a think tank body for it.
As much as I agree with your point this issue is our own making very little to do with EU, actually if not the EU intervention in some situation, it might even be worse.
Remember this government fought the EU with regards to bonuses to bankers and level of taxes to finance companies.
With regards to owing your own home, if this current government continues on the same path, the current housing problems will be nothing compare to what it will be in the future. What we are experiencing now is a policy shift on housing in the 80s, I don't need to add the controversy of green belt to it and this is also deviating from the issue of EU "IN or OUT" vote.
If I am wrong I am open to correction but our poor getting poorer, first time buyer issues are majority to do with our current economy policies.