Dumping a digitally downloaded game with a different 3DS?

I want to emulate a game that I bought through the eshop on my 3DS, but I don’t want to install a CFW on the 3DS it’s downloaded to. However, I have two spare 3DSes I wouldn’t mind meddling with. But because it’s a digital download and digital downloads can only be played on the 3DS it was originally downloaded with, would I be able to dump the game I want even if I move the SD card to another 3DS?

No, you can’t. The game in your 3ds is encrypted by an unique key in your console. This key is different on each 3DS console.

I figured that was the case, but I couldn’t find anything about it so I wanted to make sure before I gave up… thanks for the response.