still got it sitting on my desk so quick check........
The cup does NOT like sitting on top of the wire when it's on top of the SVC cup, so I moved the wire out of the way and then it rattles around like a stone in a tin can, you MIGHT be able to bend the wire frame around the Tatonka on top of the stove but that would mean bending the wires and I am not that brave, also the wire might simply break.
Just because I am now intrigued by the idea, I just tried to place the stove back in the mug and it didn't seem so tight as when I first attempted it, so perhaps I loosened it a little earlier on, it will slot into the mug, just not all the way down to the bottom, it's about half or two thirds of the way in, or about two of the 'rings' on the stove.
Do you need any measurements to fit in a pouch?