So to sum up this thread:
A: We have some of the best members out there. Thank you all for offering your help.
B: If under a boil advisory and only use the water for your tank, then you are safe to keep making water through your RO/DI as the pathogens they are worried about can not survive in salt water. You will most likely exhaust the cartridges and membranes quickly though due to the raised levels of chemicals that are added to the water during the advisory and should change them out after the advisory has been lifted.
C: If you use that same RO for drinking water, you would still need to boil it and would need to change those stages prior the stopping boiling after the advisory has been lifted.
Long story short, always keep water on hand. Luckily I had just topped everything off the night before. If not, you should look at reaching out to friends outside the advisory area for water and not run it through your filter.
It is a good piece of information to know for the future. This is the first one I have been under, but I have known areas around me to be under one for a week or more.