[Brekkie]

I completely forgot about BBCi with its strange itv inspired logo for their online services and I’m sure you’re right this is a big part of why they went with the iPlayer name in the first place.

As a brand however it does leave a lot to be desired with the full BBC iPlayer name coming in 6 syllables hence it getting shortened to iPlayer in conversation which then omits the BBC brand. 

If they are going with BBC Player for the international brand then it’s best to stick with it a guess so it becomes recognisable but it does seem a bit generic and seems to describe the software rather than the content on it. You don’t have Netflix Player you just have Netflix for example. 

Maybe something like BBC View, BBC Vision or even BBC TV would work as better brands for the international market.

I think ultimately it will just be branded "BBC".   It would make more sense than "Channel 4", especially as most programming seems to be promoted as airing on "BBC iPlayer" now with no reference to the linear outing, so promoting as "on the BBC" would arguably be more inclusive.