Should the government force fee-paying schools to toughen entry requirements? Watch
It would only be an intrusive, time wasting exercise that antagonises almost everybody involved.
Law abiding adults have the freedom to decide how they want to spend their money and can buy whatever services are lawfully available for sale- without being harassed or intruded upon by the state.
The parents/legal guardians that choose to apply to fee levying private schools do so of their own volition.
They have already decided to pay the application fees, deposit and other school fees.
Then once their child is formally granted a place they enter into legally binding agreements accepting liability for payment of their children's private school fees for as long as the child remains enrolled at the school.
No point involving the government or trying to compel private schools to investigate the finances of their pupils parents.