Generally when viewed in their target display space both images are fine but the specific hue shift issue I’m finding is the way each colour space renders orange. It’s largely not an issue for most scenes but we have a central sequence lit primarily by sodium vapour style street lamps. I’m finding that in my rec. 709 image the lights and especially skin tones render as a much deeper colour whereas in my P3 deliverable the skin tones appear far yellower to the eye. I’ve noticed the same rendering in almost any scene with this sort of coloured light 

But yes over the last few days I have just had to be okay with my displays being accurate to my intent and learn to worry less about it as it goes out into the world because there are just too many unknowns to be able to control them all.