It’s possible and desirable for a vaccine to stimulate antibody production where a “natural” infection would not, which is one of the things that will be tested

It’s possible and desirable for a vaccine to stimulate antibody production where a “natural” infection would not, which is one of the things that will be tested during their development. An extreme example is infection with the tetanus-causing bacterium clostridium tetani, which doesn’t provide natural immunity at all.