My only significant gripe with phone cameras is that they oversharpen everything. Sharpening can subjectively make things look better as long as you don't zoom in too much, but has one significant problem: desaturation. In high-detail high-contras areas, e.g. the foreground grass, the sharpening pushes many of the pixels towards black or white, which are, notably, not green. This has the overall effect of desaturating these textures, and is the impetus for

Also, unless I am mistaken, the iphone camera doesn't have a fisheye lens, it has a wide angle rectilinear lens. This doesn't "create distortion that doesn't exist with the real camera", it simply amplifies the natural distortions that you get from projecting the 3D world onto a 2d plane. As others point out, this can be easily remedied by moving further away and zooming in.

Unfortunately, if the phone camera images are processed without oversharpening, the results are extremely soft.

Also, the wide lenses on most phones are actually very heavily distorted nearly to the point of being fisheye, and made rectilinear with processing.