Okay, a couple more cold mornings so a couple more data points
First, at 20 F, both the Jetboil isobutane and Burton canisters behaved the same – took 9 minutes to go from 9C to 90C. Since I'm a cheapskate, I might pick up some more of the Burtons – must be isobutane.
isobutane – time to boil – SOTO Windmaster stove – amount of fuel about the same for each case:
20 F – 9 minutes
23 F – 6
26 F – 3:40
32 F – 3
Operating at 20 F is pretty marginal, maybe 23 F is better.
Then I tried both an Al strip and #14 copper wire at 23 F when it was windy – 2 MPH gusts. They made little difference. Conclusion – when at cold temperatures you're even more susceptible to wind so you need good windscreen/sheltered location.
Then I tried 18 F in dead calm.
First I tried #14 solid copper wire wrapped around canister and up into flame. After 8 minutes it was only up to 70 C – I'de call this a no-go. Maybe Bob is right, #10 wire would be better and maybe it would help to flatten it.
Then I tried aluminum strip attached with steel wire wrapped arounde canister. 6" x 1 5/8". It's maybe 1/32" thick so that would be about 20 gauge. #18 steel wire. 0.5 ounces total. The cross sectional area of #14 is 0.004 in2. The cross sectional area of my strip is 0.05 in2, a little more than 10 x the #14 wire, so it should conduct heat more than 10 x better.
I tried it with the steel wire attached at the corners of the Al strip and it took 7 minutes. I moved up the holes a little, so it would better pull the strip against canister to make better contact and it took 5:30.
Conclusion is, if you use Al strip, you can operate at 18 F the same as 23 F without strip – this lowers your minimum operating temp 5 degree F.

If you look at that picture carefully, you can see three holes. The one that I'm using is what worked best. The one on the corner didn't work as good as described above. The third is in a little, but then the steel wire was between the Al strip and the canister so the strip made very poor contact.
So, you have to drill the hole maybe 5/8" up from bottom, as near to the edge as you can (1/8"), and you have to bend up the Al strip with pliers so that there's a space for the steel wire and the Al strip makes good contact with canister.
This was all with a mostly used up canister so most all the propane was gone. Another technique to operate at cold temps is to use new canister that has all its propane.
Maybe the technique of putting canister in water would work better. Cut off milk carton bottom weighs 0.7 ounces:

You could occasionally take some of the water you're heating up and put it in water container to keep it from freezing. As long as it's above freezing it should work good.