Well the problem is that things like ‘organic’ are lightly, often un, regulated markets. There is no official standard that is government enforced. It is also based upon, in many cases, bad science. The anti-GMO movement is, bluntly, one I have little respect for as it exists. That isn’t to say that I don’t have concerns with how companies like Monsanto behave, but that is distinct from the argumentation that GMO food is toxic.
Inversely vaccines are a part of medical markets, which are far more closely regulated. The science is also very clear about it. While the distrust may stem from a similar place, the details are quite different. We have far stronger saftey standards that are more strictly enforced, and should be!
And, of course, you’re right about the average person lacking the direct means to verify contents. Which is why it is important that consumer protections regulations are enforced. The FDA should have the responsibility to ensure that what we are sold is what it is labeled as.