>wouldn't the description of this imply you're stimulating the body to be in an a long-term situation that would be commonly viewed as unpleasant (inflamed, maybe nasal drainage, that type of thing) with the positive tradeoff that you get fewer actual infections?

It might be worth it, at least during certain times of the year. For much of the winter, for instance, I already seem to have a lot of nasal drainage and other unpleasant symptoms for the whole time, along with the occasional actual infection which is much more unpleasant.

There's certain times when there's big flare-ups of infections such as flu, so maybe giving everyone an annoying vaccine during that time which gives them the sniffles would actually improve things overall.