The issue probably came up with certain ballasts that interfered via. electronic noise -- communication between devices. Unless you have old T12 fluorescent fixtures with old ballasts or if you have electronic screens with a refresh rate of 60hz there shouldn't be any issue. Or if you use dimmers and fluorescent lights.
There is a 60 hz issue with some lights and with computer screens with a 60hz refresh rate.
I have switched over to almost all LED in my house. My yard light is HID, laundry room is fluorescent and I have a couple fluorescent bulbs that screw into the old porcelain medium base fixtures in my garage. My shop has a combination of different technologies, cause I have not spent the time to switch yet...
Finally there should be no issue with LED, unless you mismatch certain LED lights with dimmers that are not compatible.
(I'd stay away from any HID fixtures though -- Multi-vapor, Mercury vapor, other HID, etc.)