the person carrying out the works is responsible for notification if you read the legislation rather than going on EF folk law.Unless I've got it terribly wrong, failing to reported a notifiable job under the building regs becomes a criminal offence and the householder is responsible for reporting said notifiable job. LABC are the ones who can supposedly start instigating any action .....
and can only self certify if a member of a self certification scheme... by the letter of the law, although building control do have discretion on that.
So what works fine with one council may land you in trouble with another, not saying it will, but it could, either way it's entirely at BCs discretion whether to do you or not