Haven't got any video. I agree with most of what's been said above though.
One of the main differences between the two, as already noted, is steel doesn't compress or deform. Therefore there aren't as many flyers in a steel pattern especially the higher velocity lead ones that tend to mash the pellets. High velocity steel is the way to go, experience has guided me towards faster rather than heavier.
Any literature I've seen shows shorter shot strings with steel but I'm not in a position to agree or disagree with this.
The main limitations of steel are downrange pellet velocity/energy so pellet size needs to be increased a couple of sizes to compensate. Eg where we used to use lead #4=#2 steel, #5=#3, #2=BB steel etc.
As I said above, I favor the higher velocity steel ammo. Used to load shells for ducks with 1 1/4 oz. of either 4s or 5's, this has changed to buying 1 1/8 oz loads with a muzzle velocity at least 1450 fps and preferably 1550 in a 3" shell. Usually plenty of felt recoil in an o/u but it's not terrible. I've never bought the real expensive premium ammo, I've found Federal and Remington to be reasonably effective.
Main thing I notice is that you don't need to lead the bird by as much using steel, due to the increased velocity, more noticeable going to the range and shooting behind the targets.. that and the shorter effective range. I try and limit my shots to 35 yards and if possible shoot birds coming towards you so the pellets penetrate the vitals, I've found longer shots after a departing bird are a wasted shot most of the time.
To the original question, I wouldn't go tighter than modified with steel. Although I believe some manufacturers mark their chokes full-steel ok, which is possibly the same constriction as a modified choke. A choke guage or verniers would confirm this.