Regarding trophies, in your title question...Cryptic has deemed it that bridges don't matter in this game. Look at what bridge they slapped onto the winter event ship, for example. Generic garbage bridge. And they haven't put out accolade trophies for ship bridges in a long time either.
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Oh. I just saw that you edited the title to clarify. On that end, I don't know, as I don't own either console.