Ring seating today is not the same as "yesteryear". Today's rings are usually "Pre-Lapped" to aid in seating. If a Torque plate is used during honing the cylinder, it is honed in the head installed/stressed condition, and the cylinder will be rounder than a cylinder honed without a torque plate. I have actually measured a cylinder, installed a torque plate, and re-measured and have seen as much as 0.002"-0.003" larger at the top due to stresses created to the head bolts.
Now, that being said, when the rings travel in the cylinder, they wear and eventually match the cylinder providing the best seal. This wear-in process is due to the surface finish of the cylinder (final hone), and if too fine, rings can't wear to break-in. If an engine is over fueling, the oil can be washed off, and the cylinder will "Glaze", and the rings will NEVER break-in. If a cylinder finish is too rough for the ring type, it can destroy the rings and burn oil. Cam break-in happens in the first 20-30 minutes, while cylinder/ring break-in happens up to about 500 miles. The best way to seat rings is to get the engine up to speed, then take your foot off of the gas and allow the engine to slow itself down (engine braking).
Essentially, ring type and stones used for proper cylinder finish is:
Cast rings: 180/220/280 then use Plateau brush ~10 strokes
Moly rings: 220/280/320/400 then Plateau brush ~10 strokes
Chrome rings: 180/220 then Plateau brush ~10 strokes
Then, if you use a CNC Diamond Hone like I do:
Cast & Moly rings Diamond 14J 275/325 grit stones then CBN 35D 400 grit Plateau ~6-8 strokes
Chrome (Diesel) Diamond 14K 170/200 grit stones then CBN 35D 400 grit Plateau ~6-8 strokes
Diamond stones do not correlate to Vitreous stones, as it is all about surface finish.