I made a prototype of a new system that would display production multipliers separately. In this
example you can see empire info before and after Stilshrine of Miriam was played. The production multipliers are displayed after the changes made on facilities (because they are executed in such order).
Since it's not allowed to modify your opponent's production multiplier, it can be displayed during your entire round (unlike changes on other game attributes). Should the production multipliers be displayed the whole time, or should they be hidden after you play your first card during your round?
reason why to have it whole time: you can view it and it can possibly be used by your cards to have some effect
reason why not: it can be a bit confusing, because it's displayed with other changes on game attributes possibly caused by effect of your cards. This may create an illusion that your cards are modifying your opponent's production multiplier.