Matter of fact: they are part of the work or final product of many industries and governmental agencies, they serve a needed informational purpose, they are part of safety and also help to develop and maintain a given brand name. Otherwise there's no need for any of these agencies or department, including marketing, and the corresponding jobs. I think so.
So one issue might be the reliability, trust, or accountability needed by a community engaged in commerce, and even more important in essential items.
I agree that 'natural and organic' is not really defining with precision how these items are grown, so that probably should also be clarified.
The questions and concerns about GM food go along with the need to preserve the ecosystems, since you don't want to have a single clone taking over, via the standard pollination, to then find out that it can be wiped out.
Also with the possible differences in the modifications, artificial or not, affecting the end product nutritional value, and safety. It is a fair question. I don't know the details, so I would rely on the seal of 'safe', and on the reassurance of it.
The IP/patent system criticism is because it might lead to monopoly of genes present in existing species, but IP system is fair in that it rewards effort and investment, plus it documents what is going on and made available to the public. It will depend on what that system really does for the public. I don't know if it has even contributed, if it is respected, etc.
You tell us.