It's a valid opinion that for most people the vaccine is beneficial, but for some people the vaccine is more dangerous than the infection. Usually the plausible example are young children, not people over 70 though.
Most vaccine deaths seem to be among 20 somethings
There's no evidence you have for this assertion that for children the vaccine is more dangerous than the illness. Neither are particularly dangerous at all for young children, but the disease has been linked to deaths in children.
Subsequently better evidence became available, and it was decided to extend vaccination to under-18s.
Perhaps whatshisface is merely recalling six-month-old official advice?
[1] https://www.gov.uk/government/publications/covid-19-vaccinat...