Nice to hear from you again.
The scenario you outlined above is correct in accordance with the legal framework of the Dublin III convention.
If you get rejected due to Dublin III and the state that is responsible to process your asylum claim accepts to take you back, the deadline to transfer you is 6 months, respectively 12 months if you are hold in custody.
If you go into hiding (meaning: authorities don't have your current adress or they didn't find you when they came to deport you) the transder period extends to 18 months.
If you don't get deported within the time-frame (6, 12 or 18 months depending on the situation), the state that rejected you has to process your case instead.