Nope your wrong. Most early shared ownerships were the same as private ownership and only for Priority workers, police, doctors nurses , teachers etc - 20-25% of all new build flats at that time being offered to these workers on shared ownership.
Impossible to tell which are private and which are shared ownership. Plus In London a great number of private new builds are buy to rent as a way of saving up for a pension. These are rented to families who may or may not be on Housing Benefit. so not sure where you got the facts from for your argument.
