Plastic shot columns (wads) do two important things better than the old (basically discontinued) over powder wads. They seal gases more efficiently and give a much more uniform pattern.
It turns out a plastic shot column also increases the effect of the existing choke slightly... so those really old shot guns with very tight full choke barrels with modern shells are really extra full.
Modern factory manufactured lead slugs can be fired through any choke designation. You may find better accuracy with some constriction over a cylinder bore.
So with lead shot you get better patterns for longer range with quite a bit of constriction... modified and full chokes...
This is not true with steel shot...
SHOTGUN BARREL ALTERATIONS FOR STEEL SHOT
Forcing Cone Alteration:
Factory shotgun barrels usually have a fairly short and abrupt forcing cone. The forcing cone is the tapered area just ahead of the chamber where the shell is contained. Altering the forcing cone, so it is one and one half or two inches in length, reduces recoil and improves the pattern density. Trap shooters and skeet shooters have been doing this for many years. It is a good benefit to the steel shot user as well.
Choke Alteration:
Choke designation from the tightest to the most open are:
Extra Full, Full, Improved Modified, Modified, Skeet II, Improved Cylinder, Skeet I, and Cylinder Bore.
Steel shot does not require the constriction that lead shot needs, to produce good patterns. In fact too much constriction, causes poor, erratic patterns, and in some cases, permanently damages the barrel. I have seen barrels bulged at the choke, I have seen barrels where the choke split right open, from using steel shot.
For steel shot, with thin barrels, chokes should be altered to at least Skeet II. Often, over & under, and side-by-side shotguns, are best altered to Skeet I and Skeet II chokes. Heavier barrels can be left at Modified choke but may see an improvement in the pattern if opened slightly.