With Sony I’ve done a fair share lately. I have had less issues outdoors shooting 300 photos on an outing with my daughters. This car event with same Sony /lens combo was mind boggling painful in AWB the area and lighting situation.
The XT2 was unbelievable in AWB. Same lighting the colour was not far off from reality.
Even batch processing the eye dropper method with my Sony was extremely labour intensive for post for 400 photos. Oddly recent family outing Sony was even still more work than Fuji but easier than yesterday’s car event.
I know canon is more forgiving than Sony. Fuji is by far much better in AWB for what I shoot at this moment.
If it's that much of an issue, why don't you just bring a gray card?
I had some issues with Sony greens back when I shot them, but a quick adjustment to the green channels in the HSL slider solved that. I will agree Fuji's AWB works much better than Sony's in my experience, but that's an easy post adjustment.