Likewise I was taught the RAF way with HASELL having a second 'L' for Location which was further subdivided by 'ABC' as follows:-
A = Active airfields
B = Built up areas
C = Clouds and controlled airspace (unless cleared as we were usually in a MATZ or ATZ)
So I was taught a full HASELL as follows:-
Height = Sufficient to recover
Airframe = Flaps, speedbrakes, gear etc
Security = Hatches & harnesses + loose items stowed
Engine = T&P's / carb heat / prop / mixture etc
Location = Clear of ABC's as above
Lookout = either a 180 or 2 x 90 deg turns.
Subsequent manouvers then only require an abbreviated HELL.....
Regards
UA