I thought they called it the BPL, as in B for Britain, because of Swansea and for a little while Cardiff City FC being in the comp.
On iPhone using BigFooty.com mobile app
not to my understanding, there was a lot of angry englishmen whinging at foreigners still calling it the BPL even after the re-branding. Might be wrong, but I've never heard it referred to as the British Premier League