Well, that would be unsuccessful because it was season 12, not because it was organized by BBCA (a different corporate entity than the BBC).
Regardless, the point stands that the distinction you're advancing here, between "Lockdown" releases and "BBC releases riding the coattails of Lockdown" is untenable. As is pointed out to you in Talk:How The Monk Got His Habit (short story), the shadow trilogy is split across the lockdown youtube channel and the BBC website, and Farewell, Sarah Jane (webcast) explicitly says "Doctor Who: LOCKDOWN" on the youtube video with its soundtrack on the Lockdown channel, while the Doctor Who channel has the actual webcast.