No it doesn’t. That would be “kill your cable”. “Kill your TV” logically means kill the TV.
There’s no nuances in this and it ain’t a code phrase. Next you’re going to be quibbling about what “is” means.
You’re forgetting about OTA.
OTA isn’t cable.
Both are what is generically termed “TV”: ad-driven content selected by others.
I don’t have either.
For the uses you’re whining about, what you’re calling a “TV” is more properly called a “monitor”.
I _do_ have what is being used as nothing more than a monitor.
Alas, all the terms involved are used loosely enough to induce strife when someone insists on precise usage thereof.
And yes, I can be just as pedantic as you.