No, I don't think that that is correct.
The quest says:
The Pylon Lesson.
"Before you can behin your work, you need to be able to use the pylon system. Go insert the cyrstal the general gave you into the stone pylon. Then use the pylon. Once you know how the portals work, return to the general for more orders.
The pylon is near the stairs up to the level where you met the general."
There is a BIG star over the pylon and even though i've gone through it, talked to everyone on the other end, killed the shades in the basement, if I return to the general, and ask him what he wants me to do he tells me to go use the crystals on the pylon.
What you're telling me doesn't make any sense. What is the trigger that causes him to give me the next chain of events and causes the quest to complete or at least change?