That is a great question, really. Very interesting. But teeth issues can indeed cause sinus issues. This is a documented phenomena . So it would stand to reason that issues that have caused your teeth to fall out would, therefore, also affect your sinuses. Wondering if you don't still have some immflamation in your gums even without teeth that is connected to sinus issues now? Good question for your doctor! Or maybe even a dentist if you still could go to one.
Hello~I think I would ask an orthodontist, I know that issues with teeth can affect sinuses, but I am not sure if it is possible without teeth.