I would say it is more related to knowledge. Education as a term is now linked to school. While, it aims for the same thing. But, it might not include all the information that one might need to make a healthier choice/s.

Are people honest about healthy food?

I guess, we need to ask if one is able to properly assess the quality of their food first. Then, we can ask if they're being honest. It seems that not everyone agrees that healthy lifestyle /food is one thing. If you take a large group of people and ask them, you will end up with different views and definitions which at times are contradicting.