The main reason to do this isn't that the airgapped computer isn't compromised, but that even if it is, I could monitor all data moving in and out of it.
Even a USB drive passed back and forth could secretly transfer data I don't know about. Secret data is so small compared to the size of modern storage that data could easily hide in too many places.
Is that system a little paranoid? Maybe, but I haven't fully trusted any computer since heartbleed.