The hand does not "relate" to brass.
The extractor, however, does in the new style S&W revolvers. Proper carry up (timing) is checked with properly sized dummy rounds (or empty cases) in the charge holes so the extractor is supported as it would be when live ammunition is being fired in the gun.
In the new style S&W revolvers the extractor indexes off the brass cases in the charge holes in same manner as the older extractor used to index off the 2 pins. The cases now position the extractor for carry up. If no dummy rounds or cases are in the charge holes, the extractor can wiggle. I didn't design the new style guns, but I paid very close attention during the armorer class so I would be able to cut a new extractor sometime, if needed (and I've done so outside the class). The cutting arm & hand is sold to armorers (and is made at the factory).
The cutting arm is a steel bar welded to a trigger, onto which a cutting hand (and spring, of course) is installed. I have come across a couple of the newer cutting arms which had weld seams raised to that they prevented complete movement of the arm and the condition had to be corrected by filing, but that's another story.
When a new extractor is cut it's done with dummy rounds in the charge holes to position the extractor so the ratchets can be cut in relation to the hand to provide for proper carry up when ammunition is in the charge holes. Any minor adjustments needed (such as in the case of a long ratchet) are done with a Nicholson 4” Barrett #1 file.
An oversize hand isn't always the best answer to a "does not carry up" condition. A gunsmith, factory tech (or a S&W revolver armorer) can examine any particular revolver and decide which is the best choice when it comes to correction & repair. In the revolver armorer class we were taught to cut a new extractor and then check for carry up, making sure no long ratchet condition existed. (I dislike having to file on the frame's hand window if at all possible, which can sometimes be needed with oversize hands. One too many file strokes, or file the wrong side, and the frame may be ruined. Not good.)
In the last revolver for which I cut a new extractor (mine), I first tried to correct a carry up problem (involving 1 charge hole) using the first step up oversized hand. I'd received 2 new oversize hands from the factory as repair parts. I had a very experienced revolver armorer of more than 30 years experience assisting me and monitoring the repair. (My armorer experience is primarily for various pistols and the AR, with only a single S&W revolver armorer class under my belt, and I'm not too proud to ask for help ... especially when it's my gun.

)
The first oversize hand almost resolved the condition. Almost. The next step up created a problem of a different sort and I was not willing to file on the frame window. Not when there was an easier way.
Cutting a new extractor, using the original hand (you don't cut a new extractor with an oversize hand in the gun), resolved my problem perfectly.
Got a S&W warranty service station/gunsmith facility over in your part of the world? This link should take you to a list of the current European Warranty stations:
Warranty Stations - Smith & Wesson