For starters...
psql terminal results for BOTH servers...
james=# select ad_group_member_p(3,system_administrator_group_id());
ad_group_member_p
-------------------
f
(1 row)
james=# select ad_group_member_p(1,system_administrator_group_id());
ad_group_member_p
-------------------
f
(1 row)
buxs=# select ad_group_member_p(1,system_administrator_group_id());
ad_group_member_p
-------------------
f
(1 row)
buxs=# select ad_group_member_p(3,system_administrator_group_id());
ad_group_member_p
-------------------
f
(1 row)