Sorry, I don't get this.
BT channels come down your phone line.
You're talking about terrestrial channels coming through your aerial - that's got nothing to do with BT at all.
Sky/Virgin, of course, dish/cable those channels to you so you don't need your aerial, but it's still a bit much to...
Just couldn't justify the cost of Sky at all, and haven't for many years.
We have BT Sport because it comes with our phone/broadband package. I have a vague feeling that they may have put a small charge on for it now, but I think it is small.
Anyway, I'm so out of tune with watching live sport...