The opening 7 sentences of the
N-SSA rules for cannon Section 10.2 state, "Actual or exact scale replicas of Civil War artillery pieces may be fired. The term 'Civil War' applies to any artillery piece whose model antedates April 26, 1865. Replicas of artillery pieces must duplicate original pieces. All reproduction barrels must be made of iron, steel or bronze.
All reproduction barrels and those original barrels failing inspection must be lined with a bore liner of extruded seamless steel tubing of a minimum ANSI standard and of a minimum 3/8-inch wall thickness. The liner must be closed at the breech end with a steel plug, sweat-fitted into the liner and welded. The breech plug must have a radius of at least 25 percent of the bore radius and be at least 1 inch thick at its thinnest point." (My boldface.)
If you want to shoot N-SSA events, this is your guide. While I have some quarrel with some of the details of the rule, that is what they are.
On the other hand, bronze was used without steel liners for a long time because it was not brittle like cast iron. If you are duplicating a design of the past that was bronze in bronze, I see no reason why you
need a steel liner, assuming qualified manufacture, but it does provide some additional safety, although you shouldn't be loading in the realm of danger anyway.