I love the idea of the app, but I think some greater coordination with the BDS movement would help. Instead of a simple “yes/no”, tell the user of the app which category the product/company is listed in by BDS and let them make up their own mind.
For example, currently products in the “pressure targets” are displayed exactly the same as “consumer boycott target”. As BDS says, boycotts are most effective when they’re more highly targetted. So there’s no problem with boycotting the pressure targets, but there is if someone uses the fact that they’re boycotting a pressure target as an excuse to feel good and not boycott a boycott target. Being clearer could only help.