It’s fallen pretty much out of favor. The biggest advantage today is higher power handling, which for home listening is usually not a big concern. I doubt most home tweeters ever see more than 3 W honestly.
One big disadvantage is that it dries out and gums up the magnet cavity and voice coil requiring replacement AND cleaning.
Like @knotscott said, if your tweeter was designed for FF you definitely need to maintain it as intended.
Here’s a good article on the subject.though I don't necessarily agree that all tweeters should have some.
Like every other type of technology buzz word, take it with a grain of salt and evaluate the finished product, not the buzz words.