Just color correct each shot as best you can. In most cases, if ya can’t hide, accentuate it but in this case, I’d just tweek each shot to the best it can look.
As an editor, I get footage from everyone all over the globe from great DPs to local news photogs. I am not in the practice of leaving any shot untreated. To me, it’s not color correction at all… it’s color creativity.
