I know that depending on the orb one uses, my Jupiter can be considered an unaspected planet since the conjunction it makes is to a node and not an actual planet, and it is through the node that it can link into conjunction with Neptune. For me, the stretch to conjunction between Jupiter and Neptune is a bit too much...I just don't feel it.
As for Jupiter being an unintegrated part of my chart, I think it is the direction I am moving towards because it is linked with my NN. It may also be that since Jupiter is the ruler of my ASC, I have found other ways of integrating its energy into my chart. So although it may be unaspected in traditional astrological terms, it does not necessarily mean it is unintegrated.
Perhaps what an unaspected planet shows is the level of humanness the soul is hoping to rise to through the full integration of the aspected planets.
Then again....that might just be my 10th house Libran Jupiter talking.