Not saying it's not possible but why it is quite the hard thing to get out of, and not spend liscens money while doing so, makes sense. I would guess someone has made these calculations once or twice too.
Pretty sure it's not that they "just don't" though.
Except that the BBC does it all the time.
You can watch lots of BBC content - even current stuff - in other countries.
ABC in Australia, and Acorn streaming or PBS OTA in the US.
I know I should just leave these sort of replies alone rather than say "WTF?", but WTF, dude?
When the trio that made Too Gear a huge show moved to Amazon's Grand Tour, one of the things that suffered was the music, because I guess Amazon didn't want to bother getting licenses to broadcast music in many many countries.
Well, as 'TV Licence', since that's the spelling of the noun outside the US ;)
https://en.wikipedia.org/wiki/BBC_Select_(streaming_service)