Which parameters would you expect to be able to change to give a solution that matches more closely with the steady-state solution? Try changing those parameters to see if they have the expected effect after re-running the model.
Decreasing either the density or specific would decrease the relative importance of the time-derivative term in the heat equation. In the limit as either one of these is decreased to zero, the steady-state solution should be recovered. This would have the same effect as simply removing that term from the heat equation, as was done in the earlier version of this example.