I would give the same example.
Well colour me shocked...
What you would describe as no one else coming up with, I would describe as New.
Yet from both Babbages and Ada Lovelace's accounts we know where the inspiration for this came from.
The components are not the calculating machine. There can be no calculation on the components although I guess you could count them.
That's not the argument that was being made, though. No-one said the functions of the prior components had to come through, you're now conflating 'novelty' and emergent behaviours.
It could be said that there was a time when logical mathematics was new although we are now into arguments as to whether it comes together or is discovered.
Either way, it's based upon prior phenomena, so doesn't fall into your definition of 'new'.
Still waiting on your example, obviously.
O.