“Progress” has been achieved through various factors, although it’s a bit of a stretch to suggest that the economic prosperity the country has enjoyed as a direct result of being in the EU had nothing to do with it.
Conversely, as quietrebel says, if there is a marked decline in living standards now, it will be quite easy to identify Brexit as the root cause.
As I said before, I find it curious that the exact same people who express a desire to return to the way things were before we joined the EU will suddenly start banging on about outside toilets the moment you point out that they are the luckiest generation in living memory.
On the bedrooms point, official guidance is that a couple or single parent with two children needs two bedrooms, provided that the children are under ten (if opposite sex) or under 16 (if same sex). After the age of 16 children need their own room. This is the official guidance that determines your entitlement to social housing or housing benefit.
If you think a couple in work and paying their own way should be expected to live in a single room with their children then you must be even more pro austerity than the Tories.