FWIW they aren’t raw images, they feature whatever compression SmugMug has at that resolution. They were also both taken in low light, as this was a test for how well these cameras cope with such shots handheld.
I have 7yo Canon cameras with OIS L lenses that struggle to get shots like this, handheld, in low light, at the same ISO / shutter speed. IMO, the shots are quite good considering the conditions I did my test.
Regardless of your calibration and opinion on the color, the reproduction on the iPhone’s photo is closer to real life. This is a treated and stained wood beam within a building. The Pixel’s shot is washed out, the wood is actually is as orange and garish as you stated when commenting on the iPhone shot.
As far as monitor color reproduction, It looks similar on my iPad Pro 10.5, my iPhone 7, and iPhone X. While I have not calibrated my displays manually, or myself, I think it was reported that the iPhone X and iPad Pro are very accurate displays. Granted, we don’t know about the camera’s ability to capture reality.
All said, I find the AWB on the Pixel to favor cool, where the iPhone tends to favor warm, while also taking shots that look more color accurate. The pixel will pull in more detail where the iPhone will wash out highlights in scenes where HDR is used heavily to balance.