Yes, because professional public sector salaries have barely increased in a decade. Graduate trainees are paid only just above NMW jn the early years of their careers and progression from there isn't great for most. Hence the recruitment and retention crisis in most sectors, which makes working conditions tough for those who do stay.
But I agree that both the question and people's responses are ludicrous.
It was clear from the OP that she wanted to know the gross salary that would net £5k pm. A lot of frustration could have been saved by having a play with one of the many online salary calculators instead of asking on here, which rarely gets a sensible answer.
Plus it was a classic 'how do I get to X from Y question' where the answer is that 'you need to get from A to X first, which is likely to take so long that by the time you'll get there, if you did, because 95% of people who set off from A never get past M, you'll find your circumstances have changed because your toddlers are at high school and your adult DD has moved out, and now has her own toddlers to find childcare for'.
But at least the OP has realised the obvious answer that they just need to get any job, look at benefits available to help with the cost of childcare and arrange their hours to minimise the amount of paid help needed.