Sram official says No, but practical test from Velonews says otherwise. The full test review can be read here.
The simple conclusion of the test was the new Yaw front derailleur and crank system had fully improve the slow shifting on the previous Red “fromt-shifting” system. Where the new derailleur and the new chainrings made most of the difference disregards to which version of shifters that you are using.
If the pocket is not so deep on the upgrade, the first priority would be the new Yaw front derailleur, then moving onto the crank system. The shifters can be changed when the improved ergonomics and shift feel had justified the extra cash, while the rear derailleur doesn’t even make any difference at all.