Originally Posted by
lostinlondon
Yes, but all AA club members have access, regardless of onwards flight (according to AA.com)
The Arrivals Lounge is not an Admirals Club and flying BA shorthaul into LHR will not provide access to the Arrivals Lounge even if one is an Admirals Club member. (I was responding to sunshinebob's post about Arrivals Lounge access).
An Admirals Club member would have access to the Admirals Club by virtue of Admirals Club membership.
But we haven't yet established if the OP is an Admirals Club member or is merely seeking access by status.