White balance between different cameras

Different cameras seem to have slightly different white balance numbers. For instance an a7iii needs to be set  higher than an a92 to get the same white balance. This makes it really hard to batch edit a set of images than came from more than one camera. I'm often editing from up to four different camera bodies within the same set. It would be awesome if there was a differential between cameras so when copy/pasting settings between cameras it would apply that differential to the number. I know this might be a big ask but it's a huge pain point in my workflow.