Hello Commanders,
I think the answer is as straightforward as the game lets you know: If it says the production of packages is paused until the move recovery has ended, then that's what is happening. The timer for a new package stays where it is until the move cooldown is gone, then continues to tick down as normal.
You can consider the time of the move recovery added to the current production times, essentially. I'm not entirely sure why in your scenario the timer should be at 5 hours remaining if you waited 1h during move recovery.
If you move a base with packages ready and then collect, the next production cycle for packages also won't start until the move recovery is done, so no way getting around that I believe.
