"Please do yourself a favour and look into licensing agreements and international streaming rights before spouting off nonsense. "
For God's Sake.
The BBC make a programme.
The BBC put it up on a website, and ask for money to download that programme (handwave over security, copy-protection and payment methods).
You're claiming that in order to that for US customers, the BBC would have to pay someone in the US? Who? For what? The BBC can do what it wants with its own content, including putting it up on YouTube (as it sometimes does), giving it away (as it sometimes does) or dumping it unshown with the negatives buried under the bridge piers of the West Way (or was that The Wicker Man?).
Streaming rights apply to content providers. If the BBC purchases a programme it only purchases rights to broadcast that in the UK, possibly provide it on catchup (which is why some programmes aren't on iPlayer, or bizarrely, like F1, aren't on iPlayer HD) and certainly not stream it outside the UK.
The BBC can do what it wants with its own content. It will have a complex mesh of fees and agreements governing other people's content. But the claim that the BBC couldn't set up a streaming service to collect subscriptions and then stream, worldwide, the program(me)s made with that funding stream is just utter bollocks.