The employer does not have control so is not the RP so how does he/she get things done.
But the employer has control of the employee. I'm not saying that anything of a physical nature has to or could be done to the residence but the level of fire safety measures may be no more than fire safety awareness training.
The cleaning business has no control over what people do in their own homes but perhaps the employee may need to be aware of possible fire risks that might be encountered whilst on a premises and what to do if they are not happy with a situation.
Lets say that Mrs Mop goes to a house to do some cleaning and the residence owner's son, Dwayne, has got his motorcycle in the hall with the fuel tank removed and a whiff of petrol everywhere. There is of course the potential for a dangerous situation especially if Mrs Mopp has to do some cleaning upstairs. You would not want employees exposed to something like that in any other situation so why a dwelling. Mrs Mopp can't tell Dwaye to remove the motorcycle and the petrol fumes but she can refuse to be in the premises. Extreme example but I'm sure you get my drift.
The fire safety measure might also be that before Mrs Mopp goes up the stairs she checks the fire alarm to make sure it is working?
It does not mean a fire risk assessment but just some general fire safety awareness advice and guidance appropriate for a dwelling.
The same would apply to general H&S issues.
Just to clarify by edit I'm not saying that testing the domestic fire alarm is a contol measure for a hall full of petrol vapour. Two separate comments.