While ideally it would be best if (nearly) everyone got the vaccination, surely a sizeable percentage of people receiving a vaccine would help curb the virus?
Without wanting to make too many of the comparisons that people make*, consider influenza and how the current programme restricts rather than eradicates.
The short-term plan will be to vaccinate NHS staff, key workers, the elderly and vulnerable as this will help alleviate the pressure on the NHS and economy.
Only in the latter stages of the medium-term and into the long-term, will the real efforts be in eradicating the virus completely as it should be managed till then.
The real goal will be to reduce deaths to zero and the strain on NHS capacity (ICU beds and ventilators), with the hope of also lowering transmission there.
*e.g. there's lots of epidemiology reasons for why we can't completely eradicate influenza.