That used to be the case until Thatcher.
Brought in right to buy and at the same time stopped HB being used to pay the mortgage.
Some people defaulted on their mortgage and literally moved next door and paid double in rent what they were paying on their mortgage.
The one that gets me is the way 'right to buy' is worked out it is on the number of years you have been a tenant even if most of the time you were claiming benefits.
I don't blame anyone for using this, if I was in the position to do it I probably would and I have a friend who did it.
She moved into a 3 bed council house as a pregnant teenager and was on benefits, she did work but had FIS (anyone remember that?) and housing benefit
Her daughter actually left home at 14 (long story), my friend put herself through uni as a mature student and then when she started working full time used right to buy.
What does amuse me is that she was horrified when the council stopped cutting her grass, which they apparently did for all their tennants up until the 1980s.