I can't tell which would better but I can tell what observations I got from night blooming jasmine and bamboo (not sure if this is the jasmine your refering to). You decide from there.
Night jasmine is a flowering plant with strong smelling blossims that attracts inscects. As far as I know the flowers open at night. As for bamboo goes, I think of it as a sterile plant. It doesn't really attract much in the way of insects but it does provide shelter. I haven't seen either of those plants cause any ill effects to Jacks. However if it was a choice of shelter to food, adult Jacks would probably choose bamboo for shelter and jasmine for food. As you probably already know, Jacks here on Maui can live in a variety of locations and habitats. Alot of what what you read in popular literature sometimes doesn't apply when you study feral populations here on the valley isle. Your doing a really good job trying to find whats best for your jack.