Even looking at the photos on the web page, I do see some differences, but both look fine to me. I'd love an A/B version where I can overlay the two photos and click back-and-forth quickly. But then if I need to do that to spot the differences, maybe it doesn't matter?

If my phone photos did bother me, I would turn on RAW mode and do the processing myself.

My "real" camera is a 15 year old Canon Rebel XSi. It's big and can't do a lot of the things my iPhone can and the photos are about the same quality (which is impressive because the Rebel is only 12 megapixels).