Depending on which Organic organisation / country you certify with, they have differing levels of non organic ingredients allowed. I am not sure what the USDA specifies.
But, in principal;
The botanicals are considered ingredients, but their small quantities may make them exempt from being organic input. Pesticides and other agrichems will pass through a still.
As I think the USDA uses the 5% rule (5% of ingredients can be Non organic, but not GMO), if you secure a Organic CERTIFIED NGS you will be good to go.
Do speak to the organic certifiers, they will know whats allowed and what is possible.
Customers do care about OC. It also gives you a solid differentiator.
OC production is more expensive, mainly due to the additional costs of process cleaning, paperwork, more manual labour, less chemicals.