I just had an idea.
One of the routine problems is if you have a butane burner with a wide flame pattern, but your cook pot is very narrow. So, you have too much heat lost up the sides. One thing I made was a tiny strip of titanium foil, and it sits in a circle on the three pot support arms of my burner. That limits the flame, and I use that with my narrow cook pot. As you might guess, the titanium foil gets red-hot. That's OK, because titanium can handle the high temperature.
But, there is still lost heat. If I could get this wire heat conductor top end within or very near that foil circle, it could absorb a lot of heat. In fact, I hope it doesn't melt. If that heat got carried down to the canister, it might make a bigger difference.