This route description says climb past a small pine tree and work your way up for 120 feet to a good vegetated ledge. I never made it to that ledge on my last attempt. I gave it a good look this Spring while rapping the arete, and I'd describe the climb to the good vegetaged ledge (I'd call it a small vegetated nook) as "climb past the small pine tree and go where the ridge forces you, which is straight up sheer rock with no holds for 120 feet."
The time to visit this part of Arizona is April and May and later in the year, mid October to mid December. The conditions are much more reasonable in the shoulder seasons, it can be brutal in the heat of the summer.
I would say the SE Arete is best approached from the east. The elevation gain is less on a decent trail (unless it is overgrown - I haven't done it in about eight years), you quickly attain Lion Ledge, and you even have a dependable water source on the Ledge!
"After the first glass, you see things as you wish they were. After the second, you see things as they are not. Finally, you see things as they really are, which is the most horrible thing in the world."
--Oscar Wilde on Absinthe