From the BBC article :
“The figures also showed 99% of people who tested positive for Covid in the past week in Wales were under 60. Of these, 37% were unvaccinated.”
In other words 63% of cases were vaccinated.
“Nearly 13% of hospital patients with confirmed Covid were unvaccinated.”
In other words, more than 87% of hospitalized were vaccinated.
“PHW said the vaccines had helped keep Covid hospital numbers much lower during the third wave.”
Their own graph shows that isn’t true.