Hello David my name is ***** ***** I will help you with this.
The case you refer to has a 'caution' icon next to it, which means it can not be considered good law.
In any event having read it, that was an issue where there was a fire.
In order to rely on a case it must be the same or in legal terms 'on all fours'.
This is not
Sadly you can't force the Landlord to do anything.
But you can approach the Council.
You can say if you saw vermin then the Council would have a duty under the Control of Pests Act 1949
The Council can go in, do the work and charge the tenant or Landlord.
But I would treat that case with caution as it is not good law.
can I clarify anything for you about this today please?