I don't think there is anything wrong with certified organic meat and produce or any other foodstuff for that matter. Since we consume food more than anything else (hopefully) it makes sense to start there if you wish to reduce your exposure to potentially harmful toxins.
With that said, we are on a tobacco forum so that means we definitely can't be too particular about it...
The term "natural" by itself means nothing because there are no regulations behind it but I don't think anyone should attempt to discredit organic farming and the organic food movement as a whole.
It is the original form of agriculture, after all...
As far as organic tobacco goes, even if there is a benefit to it, I think it would be meaningless for the pipe tobacco community since our favourite blends would never receive certification due to the massive amount of suppliers they probably use for each brand.
I'd say RYO would probably be the only market for organic tobacco if it did take hold.
BTW: It is not a clearly established fact that organic food is healthier than conventional food. The idea, as far as I understand it, is that you steer clear of a lot of pesticides and chemicals than may have an unforeseen cumulative impact on our health - not to mention it prevents the use of genetically modified seed and livestock feed.
Taste is a pretty subjective thing and it is not readily measured, so YMMV, but I personally think it is possible to taste the difference between grass fed organic beef and the conventional feedlot cuts. Eggs are definitely a great place to start if you want to taste a major difference between production methods... I'm no expert and there can be volumes upon volumes written about this topic, so I'll leave it at that.