I certainly cannot dispute your answer, but perhaps a bit more information may be of interest. We have an organic garden, but the difference is that not only have we never applied any chemicals, living memory (pre-1935) states the land we occupy has never had chemicals. In fact, it was a jungle until we cleared it 5 years ago and there is no memory of it ever being farmed or gardened. It is situated on a mountain ridge, at the very end of the ridge, and the drive is 500 meters from the nearest (gravel) road, with no other vegetable farmers/gardeners/neighbors within another kilometer. We only use heirloom seeds, which may or may not be ‘seasoned’ with chemicals in a previous life, and we do not bring in any fertilizers, manure or outside composting materials. Having said that, the nearest ‘farm’ is rice fields, some 400 meters down the ridge in the lowlands. Chemicals are used there, however our water source does not tap into the water runoff as our aquifer is higher than the rice fields. So, with the exception of the potential ‘seasoned’ seeds, one would think we were totally organic.
Not so. Being on a mountain side, we have winds, and, of course visiting birds, insects and animals. So, while being virtual hermits (with enough owned land to ward off any encroachment of unwanted neighbors) we cannot stop Mother Nature. We live on a Filipino island that has no ‘commercial’ farms such as we know in the states, only small holdings, so our escape from corporate emissions is that it has to travel some 200 kilometers. But that can be possible given trade winds and typhoons. We do no-till and combat weeds by pulling prior to seeding and after sorting we use the very same weeds as mulch and compost. As an example, after piling unsorted weeds around our coconut trees about 2 feet high and 2 feet from the trunk, our production virtually doubled. Other, more sorted, weeds are used in the compost pile for our vegetables and fruits. Weeds, being the natural enemy of plants, suck up the water and minerals from the ground. Goats do not drink water, for the most part, they get their thirst quenched mainly from weeds. The weeds applied back to the dirt they came from returns those nutrients. As does the leaves and branches of trees as well as the roots and stalks of vegetables. You might think we are inundated with weeds, but each weed-pulling exercise returns less weeds than previously. Initially weeding every month is now down to about every 6 months, and takes far less time. Bugs? Garlic, onion and hot chili peppers blended well, diluted with water and sprayed solves the majority of the problems, with additional help from spiders, lady bugs, birds, lizards, dragon flies and other welcome insects. Can’t get them all, and as long as it is only the leaf they are eating we don’t bother. But, we hand-pick off the fruits and vegetables.
So, you are absolutely right, there is no such thing as a totally organic garden or farm. And, ‘Farm Fresh’? Just remember the phrase most likely means fresh from the farm, not that the farm is fresh.
ETA: Link to Column - Is it true they allow “certified organic” produce to be sprayed with chemicals? - The Straight Dope – Rico