AT&T @home in NW WA State...
I have both now, both full price--
In the past I have had only the Internet service and no TV.
During that time I did attach a coax splitter and hooked up my TV just to see if there was some signal in there-- NO!
4 years ago, before the network was upgraded for intwernet and digital tv service, you could pull 4 channels off of the cable coming into the house without paying for anything- it was like FOX, NBC, ABC, and CBUT all were a bit fuzzy.
I am 70 MI N of Seattle and 70 MI S of Vancouver, so a regular tv antenna picks up nada.