[moocowduckquack]

"Analytical Machine" doesn't appear as a pre-requisite for "Modern Computer"

People thinking about them helps. You don't need the first people designing computers to have heard of an analytic engine and be working from Babbages notes for there to be dependencies. And it is not as though Babbages work did not have an influence on mathematics and technology in its day, it was widely known and discussed in both academic and political circles, and will have certainly influenced many. It would seem unlikely for the people working on the first working computers to not be drawing on some work that had echoes of the earlier attempts in the field, irrespective of whether the researchers themselves were aware of it.