The problem is not that people don’t want to work.
our workforce participation rate is nearly 80%.
our unemployment rate is around 4%.
With approximately 900k unfilled jobs in the UK, an unemployment rate of about 10% is required to fill those gaps. Keep in mind you will always have some unemployment (people unable to work, retraining etc etc) and we have very high participation rates already which suggests that very few people are taking the SAHM(D) option these days.
What there is, is simply not enough people.
Immigration isn’t because of lazy benefits scroungers. It’s because there aren’t enough people in the UK to do the number of jobs an advanced and complex economy like ours requires. The graph I posted earlier indicates that there simply aren’t enough young people. You can try making benefits less attractive, but all that does is scrape the barrel - it doesn’t magic up the numbers you need.
Have more babies, you get jobs filled. OR, increase investment in automation and higher productivity and the problem goes away that way.
a crude example: on the titanic (I rewatched titanic recently) there were approx 2k passengers for approx 1k crew. Modern cruise ships run a ratio of around 1:4 crew to passengers. Automation means that the same level of service can be provided by less people. You want to fix this? People either have to have more children, the economy offer less services, or increase automation.