I'm getting similar results. I prefer how the Pixel camera plays with light. iPhone tends to flatten everything and suck out all the nuanced reflections in favor of making everything look warmer and brighter and probably more popular on social media. I have to admit the iPhone photo is more striking and what I would pick for a magazine article. But there's some loss of details.
The Pixel photo would years later tug at my heartstrings more because the way the light is playing off of the dog and other surfaces gives me more a feeling of being there in that moment. If it were my dog and a moment out of my life I would feel a little more connected through that photo than the idealized depiction from the iPhone.
This sort of difference in how cameras render the same scene is what caused me to have a problem with the way Samsung used to pretty up photos. I wanted to be connected to my memories the way I saw them in person and in previous generations of Samsungs, the combination of their heavy-handed processing and their oversaturated default displays caused me to feel such an emotional disconnect from my photos.
I vacation at a drab looking modest Atlantic beach but the Samsung made it look like I was in Hawaii. Goodness only knows how it would have made Hawaii look! I'm glad they stopped doing that. I love my S9+ photos. Selfies are still a hot buttered mess though.
Don't get me wrong, I'm perfectly content with my iPhone photos. But I have long adored how the Pixel camera lets reflections dance around in a subtle special way that engages me in the scene just a little bit more.