Better priority system

Yeah, probably will be able to make it better. The logistics priority is not related to the task itself, so it doesn't help other than ensuring there is materials needed there.
However, haven't seen myself that assigning a task manually wouldn't work well and fast once it is given. Although, if they are too tired to work (out of energy) then that could stop them from carrying it out.

At the moment in these critical situations it is best to stop production with other refinery/assembler facilities and only leave the one needed on.