The ultimate goal of sulfite management is to keep an appropriate amount of sulfite in your wine for your wine's color and pH. The 1/4 tsp / 6 gallon carboy per 3 months is a simplified "rule of thumb" for those who don't have the ability to test their wines sulfite. Except with high pH wines, I've always found it to be a little heavy handed.
The purpose of sulfite management is two-fold, as sulfite protects your wine from oxidation, and it also protects it from unwanted microbial action. Managing your headspace with inert gas will certainly protect your wine from oxygen exposure and subsequently from oxidation. Much of the microbial action we desire to combat is also a result of oxygen exposure, many of these bugs need oxygen to their dirty deeds, so inert gas will help in this arena as well.
I can't say that I know that if you have zero oxygen in your headspace that you are safe from all microbial action, because I don't know if that is the case or not.
To answer your question, personally, I don't think you need to stress out about sulfite management given your current practices with headspace management, but I wouldn't totally ignore sulfite management. In my wine environment, without headspace purging with carboys being stored and not racked, sulfite levels have remained acceptable for much longer than 3 months at a clip. Though it's nearly impossible to have zero oxygen in your headspace, if you have a good seal on your carboys, and pay a little attention to sulfite, you're probably way ahead of the game.