That age group is too wide to make a meaningful comparison without standardising for age. Less than 10% of under-18s and less than 60% in the 18-24 age group have been fully vaccinated, whereas it's more than 80% for the 55-59 group.
The unvaccinated population in that age group is significantly younger than the vaccinated population. As you would expect, older people tend to die more often.
This is also mentioned in a footnote in the ONS data (and this is why they tend to focus on age-standardised figures).
You could say the same for the covid death rate: generally saying that it is a deadly pandemic is misleading, because it disproportionately kills old and sick people, and those tend to die more often
I don't understand your argument. When we're comparing "overall death rate in a world without COVID" to "death rate in a world with COVID", we're looking at the same population. We don't need to adjust for age if we're looking at the same population.
This kind of misconception is so common it even has its own name: Simpson's paradox. It's laughable to think that the vaccinated population, compared to unvaccinated, is dying at the rate suggested by these numbers and no one is ringing the alarm.
The unvaccinated population in that age group is significantly younger than the vaccinated population. As you would expect, older people tend to die more often.
This is also mentioned in a footnote in the ONS data (and this is why they tend to focus on age-standardised figures).