Silent shutter makes the camera to scan the image area line by line during a hundred milliseconds or so. Lights which flicker with the mains AC voltage pulses make bands because the light intensity varies several times bright and dark during one scan. You get some light from non-flickering sources, too. Thus the bands are as much exposure variations as white balance variations. You should have as little processed versions of the images as possible when you try masked exposure and color balance adjustments at the same time. It's possible that you find a single curves adjustment layer for both. That's because one adjustment layer can have different curves for R,G and B.
Do not expect the same fix to be valid for all images, because the placements of the bands can vary (=no sync; see NOTE1) and the proportion between fickering and of non-flickering lights varies between room areas and also from image to image because there's some movements
NOTE1: In the past high end video cameras had an option to be synced with flickering lights. That's because fluorescent lights flickered heavily and someone maybe also wanted to have a television in his video. Unfortunately I do not know if Sony has this option for Silent Shutter.
A fixing attempt
This is an attempt to insert a fix as a single Curves adjustment layer. The idea is to compensate both exposure and white balance variations with a single layer:
Proper curves for R, G and B were searched by having a black layer mask, there was only a stripe of white in the middle of one band, that one which seemed to be the strongest. Then more white was sprayed to the mask with a low opacity and low hardness brush. Spraying black was the way to take some superfluous white back
Unfortunately your image is a heavily processed thumbnail of the actual image, so nothing quarantees this makes enough correction to the full size image.