
1. If your US 3DS CFW has allow region function, yes you can. I use JPN O3DS to injecy OOT3Dhax into USA cartridge for downgrading my US 10.7 N3DSHello.
I have US 3ds hacked console and 11.1 3ds Europe, which I'd like to downgrade. If I buy Paper Mario for Europe, could I inject a save into cartridge on my US hacked console?
1. If your US 3DS CFW has allow region function, yes you can. I use JPN O3DS to injecy OOT3Dhax into USA cartridge for downgrading my US 10.7 N3DS
2. I think that you're misunderstanding somethings. 11.1 can't downgrade using any hax, only hardmord or DSiware Downgrade:
Why the 3DS can't be downgraded on 11.0 "For Dummies" (A simple explanation for the rest of us)

Yes, you can if US one can read other region cart, which most CFW allow it to.Thank you!
I have soldering iron, n3ds US (hacked) and o3ds EU 11.1. If I made a hardmode, I can inject save into EU cartridge by my US-hacked console and downgrade 9.2 to install CFW.
Am I correct?