Not sure if I like the idea. If you made your own paper money at home, you'd not exactly be "helping the economy", right?
In the Fallout world, perhaps it made sense in the Fallout 1 era, when the economical powers were just emerging, but by the year 2238, powers like NCR, Vault City and San Francisco must already have a "better" control on the flow of money, etc.
I admit I am no economist and that nobody knows exactly how the economy would work in such a world, but maybe someone with more knowledge can explain things better.
I do remember that in New Vegas there's a quest to destroy a machine used to create non-official bottle caps, because that was hurting the economy of the NCR.
Still, if there was a new "TCable" location, say a Nuka Cola factory, which featured machines you could make Bottle Caps with, and factions could fight over it, that'd be nice.