I know they have to pour the metal into either bar, billet, or ingot form initially. At least in order to create the alloy. I've not done any deep diving into what happens at a microscopic level between the processes. I do know that forging doesn't do much to the grain structure until you heat treat and temper (at least for steel). Sure, it can do things to the grain orientation, but we're not talking about drastic changes here.
When I was making knives, I would work with bar stock, since I didn't have a forge. I wasted more material than if I did have a forge this way.
For the firearm parts, I'm pretty sure what most people think of for forging processes doesn't match. They heat the metal up to the point where it can be shaped safely (without breaking) and then use large hammers with the patterns on either side. A whack (or a few) in the 'hammer' set is all it takes to make the shape.
On another note, the diamond paste I ordered arrived today. I cut a piece of O1 tool steel to use with it, as well as a section of leather. After testing both base materials, I think I like the leather better. It seems to give a more polished finish faster than using the steel as a base for the paste. I used the three compounds (6 micron, 3 micron and 1 micron) on the trigger and hammer in my AR pistol build/lower. Took even more of the grit out of the FCG that way. I think the only way I'll be able to improve the trigger, now, is to replace the springs and/or use a set screw to remove some of the travel before it breaks. Not sure if I want to go with the screw in the pistol.