I don't think you've got this quite right.Yes, steel absolutely creates higher pressures. And on top of that, 1 1/2 oz of lead shot was a definitive proof load in the 1800's for a smooth bore 20. You are shooting over proof loads every single shot. It's no wonder everything has warning labels on it nowadays.
Black powder will only give so much. It is limited. You can increase the payload or workload and pressure will rise but not in an unlimited fashion unlike smokeless nitro type powders.
Black powder deflagulates. It simply burns. Put more in front of it and it burns slower.
Countless tests have been conducted. Winchester tried blowing up their rifles with a barrel full of bullets . The only time black powder can cause harm is when a cavity or void is created.
As long as all the components, including the powder all move off as one no dangerous condition will arise.
Eventually performance drops off with more load added making it impractical.
A well known and well qualified member on this forum conducted many an experiment with 2oz loads in his 20g.
By rights according to the common mantra oft spouted my .45 smoothrifle should not be loaded with more than a 1/4oz of shot!
Believe me, it works perfectly with 3/4oz and on the finest powder I can get!
Oh and steel does not produce higher pressure. Fuel generates pressure not shot.