That paper demonstrates that the vaccine provides a stronger response to the part of the virus that the vaccine tries to get you to respond to than actually get

That paper demonstrates that the vaccine provides a stronger response to the part of the virus that the vaccine tries to get you to respond to than actually getting sick does. It does NOT demonstrate that the vaccine provides any response to other parts of the virus. And it almost certainly does not, while getting sick does. It also DOESN'T address the question of which provides a better response to novel variants of COVID-19.