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And that is why you don't want to do 5x5 work sets of deadlifts. Doing deadlifts with that kind of volume stresses the body so much that recovery is very difficult, especially for older folks, causing you to stall in your progress. One heavy work set of five is fine, provided you add a little bit of weight each workout (until you can't, then things get more complicated). Of course you need a few warm up sets of increasing weight and decreasing reps before the work set.
In the Starting Strength program, Rippetoe basically says that deads work every muscle from the neck down. The article linked to doesn't list the forearms or lats as being involved in deadlifting. Your grip strength definitely gets a workout lifting heavy. I feel my lat muscles being used every time I deadlift. Other powerlifters, Eddie Hall and Matt Wenning, state that if you want to improve your deadlift you have to work on your back muscles. This does include doing lat work. Being in my early 60s now I only do deads once per week and I alternate between lighter and higher reps with heavier sets of 5.
I assume you meant rack pulls. Why exactly are you doing them and how heavy are they compared to your standard deadlifts?
Since my deadlifts for reps are in the mid-400's, I can't do them every workout without running into recovery issues. I squat every workout though, as they are in the mid-300's and I can recover from them.