Funky The second link you shared (emergency hospital cases) does not support your argument.
It shows that, in under 40s, between weeks 42 and 45, a total of 1,758 people were hospitalised for emergency treatment.
Of these, 323 had received 2 vaccines doses (18.4%)
131 had received one vaccine dose (7.4%)
1,275 were unvaccinated (72.5%)
And bear in mind, the total pool for those that have had one or two vaccine doses is much higher. A disproportionately high volume of those using emergency health services in the UK aged up to 40 are unvaccinated.