Going to preface with I think the vaccines are useful and important, and we should all be vaccinated with the current vaccines.

That said, current vaccines don't provoke the exact same response as an actual infection, particularly in that they don't fully stimulate an immune response in the mucous membranes of the upper repository tract. Here's an Scientific American round-up article (from back in March): https://www.scientificamerican.com/article/to-beat-covid-we-...