Think about it.
Take all the time you need.
In the case of Adult Swim, it did start out as the nighttime block of programming on the Cartoon Network, but - for reasons - it's since been spun off into its own network. CN and AS share the same channel. They're both owned by Turner Broadcasting so it's kinda a moot point anyway.
Here's an except from Wiki: "In 1998, the channel began to distance itself from its original name "The Learning Channel", and instead began to advertise itself only as "TLC". During this period, there was a huge shift in content, with most new programming being geared towards reality-drama and interior design shows. The huge success of shows like Trading Spaces, Junkyard Wars, A Wedding Story, and A Baby Story exemplified this new shift in programming towards more mass-appeal shows."
Trump's fragile ego couldn't take this, because it cast doubt on the legitimacy of his election "win," and so he took to erroneously applying the term to news stories that were disfavorable to him to muddy the waters. And later his psychosis led him to state that he had invented the term.
Anyway... the point is your are very very confused. Please try getting some information from other sources than whatever you watch.
But back in the States I can't recall ever actually seeing the BBC on TV anywhere.
Now if we could only get an alternative to internet from cable companies, so they would all go bankrupt, that would be great.