Airborne diseases with wild animal reservoirs cannot be eradicated, and never have been.

It's unclear why you think a wild reservoir isn't a problem, nor which eradicated disease you're referring to.

> Airborne diseases with wild animal reservoirs cannot be eradicated, and never have been.

Only two diseases have been eradicated: smallpox and rinderpest (a viral disease that infects cattle and various wild animals). The latter had both airborne transmission and wild animal reservoirs.

In some Countries, one of the current common shouts is "vaccinate everything". It seems that in part, this is to relieve the hospitals, and in part, to reduce contagion as much as you can (the transmission rate in the vaccinated is lower or, in the exceptions emerged, resolves faster).

Now, let us suppose that cats may be vehicles. "Vaccinate everyone" and "cats do not matter" is inconsistent.

As far as I understand, MIRS is continuously reappearing in humans due to reservoirs in camel populations, and it's only able to be controlled du to vigilant monitoring in vulnerable areas.

What disease are you talking about? Smallpox doesn't have an animal reserve, Rinderpest doesn't infect humans.