Not quite, GG, as you'll find most UK TV content online, whether it is BBC, ITV, or whoever, is blocked overseas and that has nothing to do with the Beeb but is all about Copyright Law. The law says you cannot watch things like UK TV online in, say, Belgium even though I receive BBC 1+2 as part of my TV bundle (and can get BBC 3+4 for a little bit extra cash if I want) and can record anything on these channels if I wish.
If you can see the logic in a law that means I can watch BBC on TV but not via the interweb then you're a better man than me.