Capture One Pro (16.1) can read additional tone-mapping metadata in Apple ProRaw format, making the picture look practically identical to what you see on your Apple iPhone Pro. The default Film Curve for newly imported ProRaws is “DNG Tone Mapped”. ProRaws imported previously to Capture One Pro (16.1) will persist with the DNG Standard film-curve.
You can select the new tone-mapping by selecting “DNG Tone Mapped” from the Base Characteristics Tool:
If the result of the tone mapping is found to have too much of an effect, it can be changed to the standard DNG Film Curve from the Base Characteristics tool. You will notice a drastic change in the overall tone of your image, so it's best to take this step first before editing ProRAW files.
Note: To get the actual ProRAW DNG files from your iPhone, make sure to select the photo in the Photos app, then choose File > Export > Export Unmodified Original.
With the release of Capture One 16.5.0 you can switch between ProRAW and ProStandard in the Base Characteristics Tool. Before version 16.5.0, taking a photo with your iPhone meant being stuck with a ProRAW image. Similarly, capturing a photo through the Capture One mobile app’s camera locked you into a ProStandard image.