I find this even more confusing.

#1: You preface that sentence with "But in French" so why mention English? Can /dʒ/ actually be written some other way than "dj" in French? From your post, it seems like the answer is no.

#2: The first paragraph of the third card neither mentions nor implies (to the non-linguists among us, at least) anything about English "j" having a hint of "d". This is something I'd never realized before, and only discovered it by saying "James" aloud a few times after this post; and I'm still not 100% sure that it's right, based on the post.