I don't really see why that would be a bigger problem than it currently is...The problem I see with just having a progess bar that doesn’t reset is that after 6 weeks we are going to have dozens maybe a 100 systems which show progress and the average player is going to look at the map and not know which is the big effort and which have very little support and a waste of time.
With it resetting each week it should be clearer where the action is that week to help out.
Do you mean from a UI perspective? Then it would be the same as now. Players currently have to go through each system to check the progress, or go out-of-game to forums, Reddit, Discord etc. and see which system is advertised the most (currently HIP 23716). With effort spread over several systems, they would still have to check each one, or go out-of-game to read about whichever currently needs support the most. Practically the same.
Do you mean from a player choice perspective? Yes, the decision is in the hands of the player, but I don't think it's that cryptic... The players are fairly smart - let's give them some credit here... You look at a system, it's at 50% and has one more week to go, you know it's a goner. You look at another one and it's at 80% with 2 more weeks to go - that's the one to push and prevent the effort from being lost.