Very well put to the custard.
I would struggle to word it like that, especially if I had CCTV of the work and I had seen that the work was all done, in the manner explained above.
My reply would be along the lines of " look love I spoke with the cleaner and watched her clean your house to the standards that she did on the CCTV we provide for security reasons ( absolute brilliant ides mate, are these some kind of body cam, I would be interested in a link ) and I think ur talking sh??e........ Now f. Off and don't call back ya cheeky
Well done mate. She prob tries it on with all the contractors she has used all her life.