Yes the pot stand does store in the chamber. The pot I'm using in the picture is a GSI Pinnacle Soloist. I understand that it will also fit similar pots such as the Snow Peak 900. Your pot has to be about 5" tall if you want it to fit in. Alternatively, I used to store it in a MSR Titan Kettle. The top of the stove stuck out a little bit so I just put it in a stuff sack and cinched the cord on it.
Hope that helps