BCN BOY
I don't think that British Airways refer to their 787 fleet as DREAMLINERS it's the same with most operators of the type although your find that the likes of Thomson do but more of a advertising gimmick than anything else, not even Boeing refer to them as DREAMLINERS anymore it was just an origional name given to the aircraft in it's initial design process.
It's either a Boeing 787-8, Boeing 787-9 or Boeing 787-10 in most airlines fleets, I personally dislike the term DREAMLINER.