The 2 month cut off isn't always 2 months.
Without having any proof, a housing association member of staff can inform the council (currently) staff that a tenant is not using their HB to pay the rent and has no intention to -- the council staff can then send payments direct to the landlord on the pretext of acting to enseure the tenant's tenancy is not at risk.
For anybody interested -- I have seen the tenant's paperwork where this has happened -- there'll be someone who will dispute the veracity of what I say (if past experiences are 'owt' to go by).
Some landlords may not be on the ball in relation to the housing benefit not getting to them and may be lax in letting the council know that they'd not received the rent from the tenant -- 1 tenant I know had the experience of the landlord (private landlord) telling the council he'd not received the rent when the tenant had 'religiously' paid it. -- seen the paperwork for that too!