Solution would not be the right word, however I have a better understanding of capability than I did before.
My primary objective was to use an on demand task to reload and extract that populated QVD's and then to do a reload of the QVW. It appears that I could accomplish this if my security was not setup with AD Groups. By using AD Groups, I am required to use the publisher so that the security is assigned to the QVW when published.
I did not pursue it anymore once I figured out that it was not going to solve my problem.
On another note, in my example, when I switched to the access point, I did not go in and update my drive mapping for my locations to reflect the correct server paths, so that may have contributed to my issue.
If you are using AD Groups for security and figure this out, please reply and let us know.