it's very specific but it's not that specific...
Used to be PSTLP104's, with Halcyon manifold, Highland Mills 3" Bands
Halcyon SS Backplate and wing with one piece harness
Scubapro Jet fins with spring straps
DUI TLS350 drysuit
Mask was chosen by diver, but black skirt low volume
Lights changed over the years but HID>LED, tight of a beam as possible
Scubapro MK25 first stages with G250 primary and R190 secondary, 2" brass and glass SPG, all stainless hardware
That was the basic WKPP configuration, and obviously there is more to it, but if you saw a DIR diver in the 90's, odds are they were on the WKPP project and their gear looked like that, almost impossible to tell who's gear was who's aside from the initials on the tanks. Back then there weren't anywhere near the options as there are now which is how Halcyon was founded in the first place, they didn't have a wing they liked, so they made their own, and it has evolved from there.
Now there are a lot of different options and the reason a GUE instructor or even tech instructor in general would ask for the brands/models was to make sure you didn't have an OMS bungeed wing or anything like that, or weren't using the Dive Rite Super wing with 100lbs of lift when you were diving LP85's or HP100's that only need a 45lb wing, check the harness to make sure it was one piece if GUE, make sure your regulators were matching first stages and had appropriate second stages with the right hose lengths, and a few other things just to let you know if something wasn't going to work before you got there and they were able to evaluate in person.
Good instructors/mentors can diagnose gear almost as well with pictures and a good list as we can in person because we've seen most of the permutations going around, so by asking for pictures and a list of gear, it gives you extra time to shop for deals on the equipment you need. Now, if you say I have a Dive Rite Classic Wing, and they say, no you need a Halcyon Evolve, or Scubapro X-Tek, then it's time to find a new instructor because that's BS, but if you have an OMS bungeed wing and they ask you to cut the bungees off, or your wing has one of the pull dumps on the inflator elbow and a GUE instructor asks you to replace it with a straight elbow, etc etc, then I think that is perfectly within reason to ask before you get there and get pissed because you have to replace a bunch of stuff