Your neighbor is a good example of people seeing something, but not understanding what they are seeing. Rust on tools in a barn is caused by humidity in the air which leads to condensation when the outside temperature changes enough to bring the moisture of the air on the inside down to the point of forming water moisture on the surface of everything inside the building. The most common place this happens is on a metal roof. This is exactly like what happens on a cold soda can on a hot day.
There are several solutions. The best and easiest is air flow. Venting allows air to flow over the underside of the roof and dry off the moisture as it forms. If you have enough air flow, you will never notice that it's happening. Then air flow through the entire building will solve this on tools and other items that tend to rust. Remember, rust is just what happens on metal. Mold loves moisture on wood, paper, cardboard and just about anything that can decompose. The other way to deal with moisture in a barn is insulation. This gives you a barrier from the outside temperature changes and keeps the inside at a temperature that the air can still hold the water vapor. Lastly is to pay for a dehumidifier. This means using electricity, and depending on the size of the building, it can be rather costly.
Eddie