I agree minipol; this is a very good idea. Scrolling through the list of ships is really not much fun. Is there going to be another patch, I wonder? If so, I hope your suggestion is taken!
I think the problem with the other lists besides the log is that they can change during the turn as orders, cargo, etc are changed. Maybe this is why they always reset???
But then again, the log can change in turn based games too...