Seems that the iPhone has problems in mixed lighting situations... overexposing here, adding weird color shifts there. It's much slower to focus than the Note 8, has less detail, the mic is actually trash... REALLY bad... If you are going to narrate a rear camera video, don't bother, it's going to sound horrid.
There might be a few situations where the 8+ did better, but only slightly so... The Note 8 is clearly the better overall choice, and I wouldn't consider it a close race either. Guessing they put a lot of time and effort into the dual camera array and getting Face ID working right to the point where they sacrificed overall quality.