Yes, Ryan the Caldera System as I'm sure Rand, Russ, George, Matt or anyone else affiliated with AGG or TD will tell you (and probably Laurie as well when she finishes her review) works best when left on the pot after cooking. Since the metal on them is lightweight it is easy to maneuver your pot around with the cone still attached. It maintains its ability to act as a sturdy base for the pot and elevates it off the ground helping to minimize convective heat loss too. So, all oddness aside as Michael puts, I don't find it a nuisance at all.
For the record I have a Caldera system for my Snowpeak 900mL, Firelite 550mL and Trapper Mug 475mL - all of which are engineered with extreme precision.