Okay, there's no way a switched off flourescent can interfere with anything. Switched on of course is a whole nuther ball game, particularly if the fixture uses an electronic ballast.
But in this brave new world where every doodad manufactured includes a microprocessor, a switch-mode power supply and a wireless link, the other possibilities are endless.
Someday everything will just come to a dead stop because the electromagnetic spectrum will be nothing but hash.