Exactly - BD definitely has access to more inventory than KVS shows and I think making sweeping statements in this regard is a touch misleading! :P
Also even some flights that are clearly available on ANA (and thus KVS) and also to the ICC aren't bookable! I've got the open@flybmi team looking into one such example for me - tried multiple agents, they could see availablility each time but then were never able to select the seats.