I would contest that as unless I am mistaken, he stated that schools may be able to begin re-opening for non key worker children from after half term, which is a full month earlier.
Saw a Tweet earlier from a doctor in London who said that on his shift they'd managed to vaccinate over a thousand people. If they set up 1000 stations and each station managed that, that would be a million a day. I am not suggesting that will happen but it is easy to see how huge numbers could...