Hey Tim;
Well no not really. Your mass is still warm or its not.
Removing the firebrick's covering your feed tube will not help on a cold stove.
It sounds like you are planning a J tube build. Depending on what you build. Once any cob is completely dry you should not have any troubles after the first fire of the season.
The mass holds heat a long time. As you are still in the planning stage it becomes even easier!
Build in a bypass!
By diverting some of the hot air before the mass and sending it up the chimney. The hot air creates the necessary pull to start the flow thru your mass.
Here is one type of bypass, I sell this style at my store.
https://dragontechrmh.com/
There are many ways to accomplish this same thing.