Many worlds makes it clear how it can't: because there is no FTL transmission. There is only stuff that has been pulled into the superposition (seeing a definite answer) and stuff that hasn't yet (for which both answers are still superposed). When the latter comes in contact with the former, it enters the superposition, which from the outside perspective is a split. From the inside perspective, it looks like "the superposition collapsed". From the outside, one side gets "open" and the other gets "closed". From the inside, this looks like getting a random answer.

You can see intuitively why this can't convey information. You always get both answers (in different "worlds").