Use them to improve
1. T2 sets level to T3 sets level then T4 sets level.
2. T3 sets level to T4 sets level.
This will add 3 T2 sets + 3 T3 sets: SC/RvR/PvE
So there are 3 zones on T2 to improve T2 sets level to T3 sets level.
And 3 zones on T3 to improve on T2 sets level improved T3 sets level to T4 sets level. (easy)
And on 3 zones on T4 to improve T3 sets.
A reset of all influence of all players is necessary

But that increases sets possibility, several bonus, for several specialisation.
Now, we fight on T2/T3/T4 zones, influence reward are useless (I think).
Rebuild this can be a good thing I thing ... no ?