I don't like people going through my things, which a cleaner will inevitably do
eh ?
I've had a lovely cleaner for some years, and she has never gone through my things. What an odd perception to have 
I know people say it means you can go and do other things, but those other things strike me as being pretty vacuous too (see shopping and gossip). I can see that there may be things that you do that have some meaning instead of cleaning, but my experience is that is not the reality at all
Also not my experience.
The people I know that have a cleaner, have someone clean their house, whilst they are working doing the job they are paid for.
Like most of us, I suspect, it was really hard to keep all the plates spinning when I was younger - WOTH, being a parent, all the 'stuff' that needs doing to keep the house, cars, family running between dh and I, etc etc. Now I am older, and we have more income available after necessary bills, then we choose to have a cleaner because it makes our lives easier. I don't sit around gossiping and quite frankly I dislike shopping. I work in my paid employment, and then have weekends and evenings free to follow hobbies and do things I like to. do.
Those people that I know who have cleaners, are in the same position as me - WOTH, and choosing to spend money on a cleaner each week rather than a takeaway, or putting towards other things that people consider treats.