"Wait a minute, the minimum bending radius is a function of the type and temper of the aluminum, not the machine it is bent on."
Yes to first half of statement, no to the last.
I can air bend 1/8" thick 5052 H32 to a 1/4" inside radius, but any tighter and it wants to crack. But a punch press can give me clean bends with 1/32" inside radius.
With a hydroforming process, I could go even tighter.
With a hot forming process, tighter even more so.
With blast forming...
etc.