OK, so now I'm more confused and must make another post for you all to ignore: :mooner:
You typed the above words in the original post of this thread, so unless 3 Deep Specialty dives have already been made since you typed those words the diver in question will not be "getting his deep specialty on this dive."
If 3 deep dives have not been made, the AOW Deep Dive
is the 1st dive of the Deep Specialty, and could be dived to a max depth of 110'
if the Instructor has written permission from PADI to conduct AOW Deep Dives to 110' at this specific dive site.
PADI Deep Diver is a cert that gives the diver a recommended operational depth of 130' so it would be pretty silly to limit the check out dives to 100' max. Dive #3 of the Deep Specialty has a max depth of 130' and where I have taught or witnessed Deep Specialty certifications, Dive #3 is at least 120'.
So your friend with only the 4 check out dives of OW has completed the non-diving Nitrox cert (?) and has at least 8 training dives scheduled. With all the required Academics of Nitrox, AOW and Deep it sounds like your friend is taking proper training seriously. It would be interesting to hear about the actual dive from someone who was actually on the dive.