The other thing is that the white strobes are cheaper to maintain than the red lights. They cost more to replace, but don't have to be replaced as often. And when you're a broadcaster who has to hire a tower climber every time your light needs changed, you go with the cheaper option.
FCC doesn't have any tower lighting rules, that's an FAA thing. In fact, if you have a tower and your light fails, you are required to notify the FAA that your light is out.
I think the general rule is that lighting is required on structures taller than 200' *or* within some particular angle from a runway approach. There are exceptions for nearby structures; for instance, a 230-foot tower located between Power Tower and Millennium Force would not require obstruction lighting because of its proximity to the taller structures.
FAA rules can be screwy. I read a story once of a broadcaster who was ordered to paint the supporting structure for his antenna in alternating orange and white stripes, per the applicable FAR. He refused and fought it for months, arguing that the owner of the structure, not to mention the local population, would be very upset if he did that. His antenna was located on top of the Empire State Building.
--Dave Althoff, Jr.