When the Pats played the Steelers in say the 80s and 90s, did you give two "poops" (see how that's done
@StockingAnarchyNumber12) about Pitt's history?
No one will care about the Brady/Billy era after it ends other than Pat fans. Maybe in terms of historical context it'll mean something over some beers, but usually it takes multi-generational (read beyond just one player's playing span) to be considered one of the best organizations (Pitt, Dallas, SF).
It'll be an accomplishment worth mentioning for sure. Catching lightning in a bottle during a perfect time for a weaker QB (like Tommy) to win so much as the rules benefitted him. He and Bill took advantage of the situation better than anyone else on the planet. They deserve a ton of credit for it, and if/when I remove my green glasses, it's fun to watch at times.
But once it's over... it's over. No one outside of NE will care. It'll be about what they field that year in question.