I ran a test search using Awards/OneWorld and Awards/BA-OneWorld.

It was:
ZRH->JFK, 14 JUL 2014.
No filter
Everything else default.

In both queries, AA.com shows availability (BA719,BA179; BA719, BA189) for 4+ passengers.

In KVS it says "No Award Availability / Route Too Complex" when I try Awards/BA-OneWorld.

When I try Awards/OneWorld I get (BA715, BA187). This doesn't show up at all on AA.com

Can anyone help reconcile the differences?