Even with broadcast, the need for coax (vs network) is going away. People that use broadcast still want "cable type" services, mainly dvr and channel guides. With so many options out there, TiVo, HDHomeRun, MythTV, many others, all of them only need coax to the unit, then distribute via IP from there. Still only need ethernet (or gasp, wifi) to most of the tv's.
> But yeah, I would still run coax to each TV location -- even if you Broadcast television is still very much a thing. Monthly recurring cost for an antenna is $0. Coax is the most common transmission line for this purpose.