I never heard it in jump school nor did I ever hear it while serving in an airborne unit. That was in 92 through 94. As a matter of fact, the first time I ever heard of the song was in a book that I read called "Blood On the Risers" some years after I had gotten out of the Army.
My oldest boy is in 82nd and if he has ever heard it he hasn't said. To hear him tell it, they rarely sing at all anymore, running or otherwise.