This article is typical daily mail wind up tosh. First, this nanny is not really a nanny but a home help. Second, writing freelance articles is working, so the author is not really a SAHM with no job.
Had she admitted to sticking her children in nursery for 10 hours a day it would be very different. She is basically using a home help to do the boring donkey work and baby-sitting while she swans around. She is still there for her kids for a large part of the day.
I suspect that the ruder points about other mothers were demanded by the DM to increase the controversy value. I also suspect that she is calling her home help a nanny due to snob value and also maybe she doesn't want to be seen as cheap (although revealing the "nanny"'s salary knocks that on the head.)
I wonder how soon how the "nanny" will take to resign when she reads the comments and learns how she could be earning more and working less. That is the shocker - middle class couple boast about exploiting worker to get cheap ironing.