You mean the "politically correct movement" as in the "Handbook for Marine NCOs" (1995)?: "Similarly, when enlisted persons speak of themselves or to or of other enlisted persons they should do so by rank -'Lance Corporal Daly,' not just 'Daly.'"

Or how about the "Enlisted Soldier's Guide" (2006)?: "Enlisted persons are eligible upon completion of initial MOS-producing courses."

As you say, "enlisted" is also commonly used. But the full term is still "enlisted persons" and has been for as long as women have held enlisted rank.