I don't think this is quite true. People that call themselves centrists can come from a benign place. In my mind, the folks that call themselves centrists tend to mainly care about preserving the status quo, no matter what it is.
They'll usually use terms like "big tent", "adult in the room", and if they went to school "realpolitik". Usually privileged, they don't understand the urgency for change for those in need, so they'll balk at any method that may actually achieve some progress for the marginalized and underprivileged. Usually they'll say some wise, enlightened thing about "optics".
And they'll tell themselves that they care. They'll tell themselves and others that they're the good guys. They'll watch CNN and read the economist, and they'll tell themselves they're informed. They're always on the right side of history, but only ever when it's already too late. I think they genuinely don't know.
Well sure, and they haven't been able to in almost a decade. This court ruling is about something else. They're not calling it milk, they're not mislabelling their product. In fact, the campaign this is about is them saying explicitly this is not milk, and apparently that goes too far. I'm totally with you that food labelling should be clear, but this is not about that. This is not consumer protection. This is anticompetitive agribusiness lobbying, no more, no less.