You are absolutely correct and I agree, I would be encouraging your child down a different career path.
Im a sister in the north west, I can confirm that the majority of students from the latest intake at the local university cannot find a paid job within the local nhs trusts. There are LOTS of vacancies across the NHS, however, due to the job freeze thanks to the financial position of local trusts, there is absolutely no funding to recruit nurses into the roles.
It’s sad and unbelievable, but very true!