Extremely minimal additional effect if your stackup already has a ground plane closeby (not on the opposite side, but maybe 100-300 um apart). While there might be some coupling with traces super close to each other (think about 4-6 mil clearance), when you separate the traces enough to actually fit the ground (or well bypassed Vcc; no difference from the AC viewpoint) inbetween, the separation gets so large (e.g., 6+6+6=18 mils) that actually doing the inbetween fills becomes completely irrelevant.