I'm pretty sure the temperature is the temperature at the time of carbonation
Not quite. It's pretty much the maximum of fermentation and bottling temperature. Fermentation is the only time that CO2 can get into the beer pre-bottling. How much depends on the temperature.
If you were to increase the temperature for bottling, you'd knock a bunch of CO2 out of solution. If you were to drop the temperature for bottling, then there's not going to be enough CO2 pressure to push a considerable amount back into solution.
It gets a bit more complicated if the temperature falls towards the end of fermentation. If you're not sure how much CO2 is already in solution, then bottle at the upper range of what you fermented at, and you will be safe to use that number.